Contact Form 7, widget & page?

I have no clue how to title this one.

The deal is, I run a home improvement company and use Contact Form 7 to create a form for customers to submit their interest in my products. I have a really long form to fill out on my website and want a way for people to start filling the form out on the sidebar by gathering simple information such as their name, phone#, and email but the once they click SEND, it forwards them to a page where their name and phone number and email are filled out but the rest of the form needs to be gathered.

I think when people start making the effort, they are likely to complete it. I got the idea from windowworld.com, where they have a simple contact form on the left and side that pushes people to a more complex form.

Can this be done with Contact Form 7?