Fell hand.swollen,hurts if touch it.can open close fingers but slowly.not using it. today better than yester. is it a broken hand?no xray due to coron?

Fall on the hand : A poorly treated fracture of the navicular bone on the hand can cause the need for surgery or loss of function of the hand. See a doctor .

Xray: Best to get an xray and clinical exam. Could be a fracture of the scaphoid or other carpal bone. Falls often time associated with ligamentous injury and this would require a clinical exam to evaluate appropriately. Even non displaced fractures can result in long term problems seek care.