Am I still going to be in legal trouble with the law even if my insurance will cover all damages?

I hit an unattended parked car, left a note, and did not here from the victim for two days. I finally was able to find him at home and asked why I haven't heard from him. He said he did not see the note, so he filed a police report. I talked to him and explained what happened and exchanged insurance information. My insurance is going to cover all damages. I have not spoken with the police, but he said he would!