Marketpress cart in modal lighbox

I may have asked this before, can't remember! Search didn't find it at any rate.

I manage a photographers site that was built on photocrati which is fine but showing its age, especially in mobile / responsive.

Photographer is fine with changing theme as long as a couple feature stays for sure, that is the ability to password protect / private client proof galleries. (No problem doing that in any theme so not an issue) and that the thumbnails in the gallery when clicked on open into a Lightbox that has a shopping cart incorporated with variations. Ie: add this picture to your cart in these various sizes and instant download of web file.

Can marketplace handle all of this?