Is there a way to duplicate a designed group of questions from one form to another new form?

Hi,

Yes it's possible by using the cloning forms feature (it will create a copy of an existing form).

You can find a guide on how to clone a form from your account here: http://www.jotform.com/help/27-How-to-clone-an-existing-form-from-your-account
And how to clone a form from a web page here: http://www.jotform.com/help/28-Cloning-a-Form-from-a-Web-Page

Please let us know if this works for you.

Thanks.