Can I get in trouble after a car accident if it my fault and we agreed not to exchange information was rear-ended had no damage but their did?

It depends on the laws of your jurisdiction. In most jurisdictions, drivers involved in a car accident are required to exchange certain information, such as their names, addresses, phone numbers, insurance information, and vehicle license plate numbers. If you do not exchange this information, you may be violating the law, even if you agree with the other driver not to do so.

Even if you did come to an agreement not exchange information, if you are determined to be at fault for the accident, you could still face penalties such as fines, imprisonment, suspension or revocation of your driver's license, and civil lawsuits for damages.

For these reasons, it is always best to cooperate with law enforcement and exchange information with the other driver after an accident, regardless of who is at fault.