Even if you formated your drive the data is still there. You have to actually write over it with something to erase it. That's how security programs work, they write all 0s then all 1s and 0s and so forth to actually erase the drive.
Back to your problem. Yes, you can recover the deleted files and folders. Deleting won't make your files deleted actually. They are just not visible but still in the hard drive which you saved them at. You can rely on some data recovery programs to help you find them back. You can try Recover Data for windows data recovery. Just install this program on your computer and use the function "all recovery", after a while your deleted files will be back soon. Do hope it could help you:- http://www.en.ntfsdiskrecovery.com