Currently, we have do not have a double verification feature for webmail accounts. I do believe that some third party emails, such as Google, have that option.
We have a couple of articles on how to use Gmail with your webmail account, so you may still be able to your domain name emails and use the Gmail to read them with the verfication method.
How to send email with gmail
Checking your email with gmail
And here is a link to Google's 2-step verfication page:
About 2-step verification
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