My coworker can be really aggravating. He is constantly talking and asking me dumb questions! I can never get anything done in peace!
Oh no! That sounds so irritating. Have you tried talking to your boss about him?
No, I don't want to cause drama.  I just would have thought that he would get the hint when I don't answer him and act really busy.
That's understandable. He sounds clueless. I've had many coworkers like that, and the best way I've found to deal with them is run away as much as possible.