Backups on phones

My phone fell yesterday and my apps stopped working, so I decided to restart my phone. Once I tried turning it back on, the restart screen never came off my phone. Therefore now my screen has the apple logo on it and sometimes it disappears and reappears from time to time. When it says that i have to recharge my phone, I put it to charge and the entire process repeats. I did not do a backup on my phone because it required more storage. I was wondering though, that if I go to an apple store would anyone be able to recover all my photos and videos from my camera roll?