Yes, you most likely have a case. The car coming from the opposite direction making the left-hand turn is required by law to yield to opposing traffic. The driver is expected to make the turn only after it is safe to do so.
It is important to note that if you have limited tort on your car insurance, you may not sue for non-economic damages, such as pain and suffering unless the circumstances of your accident meets one of the exceptions to the rule. See exceptions to PA limited tort.
Other than the exceptions referenced above, a person who has limited tort may also sue for non-economic damages if the injuries sustained are "serious."
Therefore, you should talk to an experienced Pennsylvania car accident lawyer to discuss your accident.
For more information, click on the related car accident injury articles below: