Yes. First, contact the police and get a police report made.
Second, contact your insurance company.
If the suspect is caught and if the vehicle/driver had insurance, his/her insurance should repair your vehicle. If the suspect is NOT caught (or doesn't have insurance), then your insurance would pay for the repairs to your vehicle, less your deductible.
If the claim was not your fault (as you describe), your insurance premiums should not be affected.