Yes, and many other things can be wrong too, it could be bleeding internally. I would get the cat to the vet right away. Poor thing is suffering, and they can't tell you how much pain they are in. Good luck.

 　　Yes. Or a tumor, or a brain injury, or a spine injury, or a leg injury, or one of many other possibilities.

　　It's illegal not to get a pet like this checked by a vet immediately. Don't wait.