Received a "You hit my car" call from a private number, is it a scam?

I just randomly thought of this and thought to ask about it, but basically a few months ago, I was just minding my own business when I got a call from a private number. I have received calls from private numbers before such as from college or my therapist, so I didn't think too much about it and answered.

Some guy was on the other end, sounded American and spoke fluently. Asked me if they were speaking to (my name) a few times, and each time I responded that they were talking to the right person without saying "yes." Also asked if I lived in (my region), and I replied that I did. Eventually, they were asking if I hit someone's car, which I hadn't in years. Said that their car was hit and that "I" left a note with my name and phone number. I told them that I didn't hit anyone, and certainly didn't leave a note on anyone's car.

They started getting accusatory, which I replied with some reasoning along the lines of: "Why would I hit your car and leave a note with my information, just to later deny hitting your car?" Then they asked if I deny responsibility. I said that I am taking no responsibility since I didn't do anything. They then announced that if I am denying responsibility, then they will be taking it to law enforcement. I was already weirded out by the whole call, but this just immediately set off alarm bells in my head. I just announced that it was a scam and hung up.

So far, haven't had law enforcement show up or anything like that. To me, it absolutely sounds like a scam since it came from a private number and the guy quite quickly jumped to the threat of law enforcement.

This was a scam of some sort, right? If so, what kind of scam was it? Just to be clear, I didn't give the guy any information he didn't already have.