I can't guarantee anything. What I would do is plug the device in for a while to make sure it's charged, press the power button to turn it on like you normally would, and then connect it to a computer and see if the computer lists it as a recognized device. If the computer detects it and everything else seems okay, it may be worth replacing the screen.
Otherwise, these are relatively cheap tablets. Ours was given to us for "free" when signing up for a new contract.