No. Most email clients (including Gmail and Outlook) cannot play embedded videos.
A common workaround is to embed an image or a GIF of the video in your email. Then hyperlink the image to your video hosted on another website (e.g. YouTube).
Hyperlink an embedded image or GIF:
Step 1: Click the image icon 🗻 to upload a picture (e.g. a screenshot from your video)
Step 1: Insert an image
Step 3: Highlight the image
Step 4: Click the link icon 🔗
Step 5: Enter the URL of the video
Step 6: Click Save