depends what plugin you use to get & submit the form data
If you use contact form 7, then yes, that can be set to send html emails.
I am sure several other forms plugin do the same.
as far as I know the jetpack contact form only sends plain txt email
looking at that plugin and their faq, it doesn't look like that sends data in html form easily
At least not in free version. You should ask them if you have the paid version
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