[Plugin: Contact Form 7] Multiple forms – fill in some info only once

I would like to have a few forms that follow up on each other. The order in which they show up is random. When the user fills in the first form and presses submit, i would like to popup a form that askes for a name. When filled in, the form can be submitted.
When the user then goes on to the next form, the name should not be required anymore, since it is already filled in in the previous form.

Is anything like this possible in CF7 or easily implementable?

Thanks in advance.

http://wordpress.org/extend/plugins/contact-form-7/