Is my hand broken? it's been swollen for three weeks after an impact. can't close fist with ring and pinky fingers.

Injury could be fx: This could be a fracture but consider other types of injury. You need to discuss this with your physician and get an examination and imaging

Possibly: These symptoms may well be due to a fractured bone in your hand. If not already done, get examined by a physician who will order the appropriate x-Rays. A hand surgeon is best qualified to evaluate and treat you.