No, but the police can do it. I hate to tell you but they probably had no insurance.
I agree. Unless you saw the accident and got the plate number, or can find an eyewitness who also got the license plate, you'll have to pay for the repairs. But even then it may be difficult to prove the person hit your car, especially if there is no damage to their car.
I'm not sure you can do that if you have license plate and information you can go to the police department though
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