Can I put a screen protector over a cracked screen?
Keeping this in view, can you put a glass screen protector on a broken screen?
A good tempered glass screen protector will help protect your from cutting your fingers on the cracked screen or getting your hair stuck in the cracks. Oh yes, just because you have a screen protector doesn't negate the fact that your screen is still cracked.
Also know, should I put screen protector on cracked screen?
If you cannot fix your broken smartphone screen right away, there are some steps you can take to use the iPhone or Android with a broken screen. You can also buy a screen protector to place over the broken screen. A glass protector or a good plastic one will at least keep your screen in the current condition.
If you can run your finger along the crack and feel it, it is very likely its just the protector. If you cannot, then it's most likely underneath and the screen. It is very unlikely that 2 cracks will run long the exact path, especially when the crack gets bigger inevitably due to pressure.