I’m sorry to hear about your accident! There are a few things you can do here.
To find out if someone has a car insurance policy, you can contact the DMV. If you got the other driver’s license plate number, the DMV can look up their policy that way. You’ll need to provide some personal details, including your contact information and the reason for your request, as well.
You can also talk to the police about the incident. Again, if you have the other driver’s license plate number, you should provide that info and let them know you were the victim of a hit and run.