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

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