No, although if you don't report it the insurance company typically won't pay for repairs.
There are a great many different private parking lot car accidents. This is the most common type of accident in fact.
Defining private parking lot is the question here... The jurisdiction extends if the parking lot is regarded as a public access way... i.e. a mall, a hotel driveway, restaurant parking lot. A true private parking lot is a lot where access is limited by invitation or a private residence.
Immediately, especially when there are injuries, otherwise it is considered a hit-and run. If the accident is a fender bender on a private lot, like a parking area near a mall, you can just exchane insurance and addresses and phone numbers without getting the police involved,
When he causes the accident
Police
Parking lot accident are the most awful claims to deal with. Unless you have witnesses or video of the accident. It is a case of he said/she said. Since all parking lot of private property, it is not a policy issue either. Most of these cases end up being a 50/50, 60/40, or 30/70 type of at fault claim. If you are ever involved in an accident in a parking lot, find witnesses and get their information! Also, check to see if there are cameras in the lot and get footage of the incident.
Yes, it can.
Private property.
If you do not know where it is, or are not certain who might have it, you can report this to the police. But make an effort to check on other likely explanations first. If it is missing from a private parking lot, check with the business to see if it was towed away.
Parking lots are ususually considered private property. Unless there are extenuating circumstances, the police will not get involved. Your best recourse is to give all of your info. to your insurance company and hope they will assist you. More than likely you will have to take the other party to court.
Whomever caused the accident is generally considered the at fault party. It does not matter whether or not your in a parking lot.
Its the person that hit the car coming in to the parking lot because probably the bad car was speeding. :)