My nose is crooked but has not broke, will it heal on its own and return to its normal shape? (Photo)

I'm sorry to hear about your accident. Sometimes the swelling of a recent trauma can introduce changes in your nasal shape that are temporary. If, once all the swelling has resolved, you feel like your nose is in a different alignment or position as compared to its preoperative appearance, it is unlikely that it will subsequently go back to normal without surgical intervention. 
My advice would be to wait for all of the bruising and discoloration to resolve at this point. If you still note a crooked shape, correction would likely require surgery. 
Best of luck!

I recommend that you consult with a Plastic Surgeon for a thorough evaluation of the inside and outside of the nose. Any surgical procedure will have to wait until the swelling has gone down and you may require repositioning of the nasal bones.