Unfortunately the Formscentral Database is not HIPAA compliant so we wouldn't recommend using it to store patient information. You certainly could design your form with formcentral and then distribute and collect PDF responses via email. If you look around this forum you will see others who have chosen to go the same route.
Is it possible to have the forms downloaded off of my site and then have them submitted by email? Is it possible to have a "submit" button on a form that send to office email?
Yes this is all possible but you will have to create the "submit" button in something like Acrobat. Additionally you will have to host the file on your website for download. Formscentral only host forms that are going to have their data collected on our servers, which you don't want.
easy to host on the site
Still on a trial version of Adobe Acrobat pro - wonder if I need to purchase product to be able to create submit button. Haven't been able to figure out how off the forms central / Acrobat triial version