Recovering photos from old, broken iPhone

I have an old iPhone 4S that was dropped and the screen broke. There are dark blue lines on the screen but you cannot use it at all although you can tell when it is unlocked by guessing where the numbers for the password are. I have many photos on this phone and want to get them off but with the screen not working I cannot chose "Trust this computer" when its plugged in. Is there any way to get the photos off of the phone by accessing it through a computer without the requirement to choose "Trust this computer"? I know in some android phones you can just take out the SD card and get some files off of that but with Apple products i'm clueless as to whether or not you can do this.