Is it ok if I go to report a cheater to the professor?
What is the person doing that makes you want to do this?
He's cheating in class and I'm tired of it.
It may not really be your responsibility to do this. You are better off focusing on your own test as this may not be seen in the best light to your fellow classmats.
Why? I pay for this class, I should be able to do what I want. I might talk with a professor and let him deal with it.
Just do not want you to be labeled as a tattletale. You are probably better off just remaining silent.