Possibly. New York State has a legal principle known as comparative negligence, which means each driver in the car accident will be assigned a portion of blame. If the other driver is partially at fault, his or her insurance company will have to pay you partial compensation for your serious personal injuries and property damage. You may also be compensated for your pain and suffering, even if you are partially to blame for the accident.
Keep in mind that no-fault benefits are available regardless of who was to blame for the crash.