Thank you for the information. In these types of situations (hit and runs), you would be allowed to make either an uninsured motorist claim or a medical payments claim.
There is a difference between the two, which is namely the limits of the policy, which I will discuss:
1) Medical payments- This covers ONLY the medical expenses incurred by you (regardless of who was at fault). These are generally limited to a relatively low amount, usually $1,000 to $5,000.
2) Uninsured Motorist- This is treated the same way a third-party claim is (i.e., who is at a fault) if the other party is at fault, then you would be entitled to all the compensation that is normally associated with a bodily injury claim (i.e, medical expenses, lost wages, pain and suffering, etc.)
What is important, however, is the actual policy you have (this would be the long contract you receive when you first purchased the insurance). This is because, with first-party claims, the terms of the policy bind you as it is a valid and enforceable contract.
In this case, there may be some type of provision that excludes payment under the policy (which I highly doubt). However, the only way to be sure of this would be to review your policy, which I would be more than happy to do.