Okay, so i punched a hole in my wall 6 days ago. it was 2 1/5 to 3 inches of sheetrock. it started swelling words each day. could it be broken?

Possibly: In view of the swelling, a fracture could have occurred. See your physician for evaluation and he/she will order the appropriate x-Ray. In the meantime apply cold packs to reduce swelling.

Yes: You could absolutely have a fracture, though the swelling can definitely occur without fracture as well. The only way to find out is to have x-rays of your hand. If you are having any difficulty moving your hand, wrist or fingers, or if you have any numbness/tingling etc., you should get an x-ray done. And, stop punching walls. You lose that fight every time.