Absolutely, you can turn to Apple Store for help. If you haven't bought AppleCare, it will be a little bit expensive to change a new screen, so what I used to do is changing a new iPhone.
Don't worry your iPhone data will miss, it is just screen broken, not motherboard. As long as you your iPhone can be connected to computer, there is chances to transfer data from your previous iPhone to new iPhone. This is what I read when I transferred data, hope it a help too: How to Recover Data from Broken iPhone?