Can anything come out of being at fault in a minor accident with only little damage to your car and no damage to the other car and no information was asked by the other driver?

Probably not. If the other driver doesn't have any damage and didn't take any information from you then you are left with the damage to your car and you can decide to live with that or make a claim on your own insurance policy for that damage, if you have collision coverage. If you damage is minor I would probably not make a claim on your policy.