Unfortunately, no, you cannot make a flat file like a quick page (png file) into a layered file (psd/tif). However, if you have the kit the quick page was made from, you could recreate it with the various pieces/files and save that as a layered psd so you can change what you'd like to change.
Are you in the Scrap Girls monthly club (the one that debuts the first of each month)? The bonus products in the clubs always contain about 5 layered templates - so it's like a quick page, except you get the actual .psd file. You can change whatever you want on those!