I was gonna say "hell no!" until I saw that police/EMS/fire responded to the accident. I remember a thread a few months back from someone who said their insurance company was mailed a bill from the fire department for responding to an accident they didn't officially claim. I'll see if I can dig it up, and I'm sure someone more knowledgeable will chime in.

Post this question in the insurance section. You'll probably get a lot more views and answers.