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I was testing and found that it is possible to embed a form using an iFrame, it loads in our email wizard and it will allow you to add the iFrame code as well.
However, some email clients will not allow to load this kind of codes in emails, for example, I tested using Outlook and it does not allow to load the iFrame code, though it is there.
This is the source of the email, where you will see the code there, but will not load in the email.
However, if you want to give it a try you may use this iFrame to embed your form in emails:
<iframe src="pasteTheLinktoYourFormHere" frameborder="0" width="100%" height="700px" scrolling="yes"></iframe>
But be aware that this may not work for some email clients.
I'm opening the source code in the email wizard and pasting the iframe code. I can view the form, but when I send a test email to my gmail account, it's blank.
It's possible that gmail prevents or filters the code on their end. When I tested to submit a form to my gmail account, I noticed the iframe code was deleted in the body content. So as mentioned by Kevin, some email clients (or should I add, email servers as well) do not allow form embedding or using of HTML codes that do not conform to usual standards for email contents. So I would recommend to use a link instead of the iframe.
If you have other questions or concerns, please do let us know.