Unlocking iPhone 5s When the Screen Won't Work

I recently dropped my iPhone 5s and now the left half of my screen will not register any sort of touch. My passcode is 1118, so I am completely unable to tap any of the 3 "ones" necessary to unlock the phone. My Touch-ID also will not work because I restarted my phone hoping that would fix it. I am trying to sync my contacts and photos from this phone onto an iPhone 5c, but my computer is telling me that I must unlock my phone before I can do so. Is there any way I can get this phone to sync to the new phone, or will I have to start completely clean without any of my old apps, contacts, or photos?