Yes - You can use sensitivity labels to provide protection settings that include encryption of emails and documents to prevent unauthorized people from accessing this data.
Sensitivity labels
Sensitivity labels from the Microsoft Information Protection solution let you classify and protect your organization's data, while making sure that user productivity and their ability to collaborate isn't hindered.
Example showing available sensitivity labels in Excel, from the Home tab on the Ribbon. In this example, the applied label displays on the status bar:

To apply sensitivity labels, users must be signed in with their Microsoft 365 work or school account.
You can use sensitivity labels to:
• Provide protection settings that include encryption and content markings. For example, apply a "Confidential" label to a document or email, and that label encrypts the content and applies a "Confidential" watermark. Content markings include headers and footers as well as watermarks, and encryption can also restrict what actions authorized people can take on the content.
• Protect content in Office apps across different platforms and devices. Supported by Word, Excel, PowerPoint, and Outlook on the Office desktop apps and Office on the web. Supported on Windows, macOS, iOS, and Android.
• Protect content in third-party apps and services by using Microsoft Cloud App Security. With Cloud App Security, you can detect, classify, label, and protect content in third-party apps and services, such as SalesForce, Box, or DropBox, even if the third-party app or service does not read or support sensitivity labels.
• Protect containers that include Teams, Microsoft 365 Groups, and SharePoint sites. For example, set privacy settings, external user access and external sharing, and access from unmanaged devices.
•Extend sensitivity labels to Power BI: When you turn on this capability, you can apply and view labels in Power BI, and protect data when it's saved outside the service.
• Extend sensitivity labels to assets in Azure Purview: When you turn on this capability, currently in preview, you can apply your sensitivity labels to assets such as SQL columns, files in Azure Blob Storage, and more.
• Extend sensitivity labels to third-party apps and services. Using the Microsoft Information Protection SDK, third-party apps can read sensitivity labels and apply protection settings.
• Classify content without using any protection settings. You can also simply assign a label as a result of classifying the content. This provides users with a visual mapping of classification to your organization's label names and can use the labels to generate usage reports and see activity data for your sensitive content. Based on this information, you can always choose to apply protection settings later.
In all these cases, sensitivity labels in Microsoft 365 can help you take the right actions on the right content. With sensitivity labels, you can classify data across your organization, and enforce protection settings based on that classification.
What a sensitivity label is
When you assign a sensitivity label to content, it's like a stamp that's applied and is:
• Customizable. Specific to your organization and business needs, you can create categories for different levels of sensitive content in your organization. For example, Personal, Public, General, Confidential, and Highly Confidential.
• Clear text. Because a label is stored in clear text in the metadata for files and emails, third-party apps and services can read it and then apply their own protective actions, if required.
• Persistent. Because the label is stored in metadata for files and emails, the label roams with the content, no matter where it's saved or stored. The unique label identification becomes the basis for applying and enforcing the policies that you configure.
When viewed by users, a sensitivity label appears like a tag on apps that they use and can be easily integrated into their existing workflows.
Each item that supports sensitivity labels can have a single sensitivity label applied to it. Documents and emails can have both a sensitivity label and a retention label applied to them.

What sensitivity labels can do
After a sensitivity label is applied to an email or document, any configured protection settings for that label are enforced on the content. You can configure a sensitivity label to:
• Encrypt emails and documents to prevent unauthorized people from accessing this data. You can additionally choose which users or group have permissions to perform which actions and for how long. For example, you can choose to allow all users in your organization to modify a document while a specific group in another organization can only view it. Alternatively, instead of administrator-defined permissions, you can allow your users to assign permissions to the content when they apply the label.
• For more information about the Encryption settings when you create or edit a sensitivity label, see Restrict access to content by using encryption in sensitivity labels.
• Mark the content when you use Office apps, by adding watermarks, headers, or footers to email or documents that have the label applied. Watermarks can be applied to documents but not email. Example header and watermark:

Need to check when content markings are applied? See When Office apps apply content marking and encryption.
Some, but not all apps support dynamic markings by using variables. For example, insert the label name or document name into the header, footer, or watermark. For more information, see Dynamic markings with variables.
String lengths: Watermarks are limited to 255 characters. Headers and footers are limited to 1024 characters, except in Excel. Excel has a total limit of 255 characters for headers and footers, but this limit includes characters that aren't visible, such as formatting codes. If that limit is reached, the string you enter is not displayed in Excel.
• Protect content in containers such as sites and groups when you enable the capability to use sensitivity labels with Microsoft Teams, Microsoft 365 groups, and SharePoint sites.
You can't configure protection settings for groups and sites until you enable this capability. This label configuration doesn't result in documents or emails being automatically labelled but instead, the label settings protect content by controlling access to the container where content can be stored. These settings include privacy settings, external user access and external sharing, and access from unmanaged devices.
• Apply the label automatically to files and emails or recommend a label. Choose how to identify sensitive information that you want labelled, and the label can be applied automatically, or you can prompt users to apply the label that you recommend. If you recommend a label, the prompt displays whatever text you choose. For example:

https://docs.microsoft.com/en-us/microsoft-365/compliance/sensitivity-labels?view=o365-worldwide