Add field groups in a form

I was looking for a plugin that allows the user to add a group of fields. For example, I am making a website form for clients. So I know what pages and the content for each page, the client wants for their website. I want to provide a form where the user has capability of adding a group of fields to the form by clicking a button. So it would look like this:

Page Name: ________________

Content: ___________________
____________________________
____________________________

[ + Add Page ]
(button to add another group of fields so another ‘page name and content field would show up underneath)

Does this make sense and is this possible?

Thanks!