I was the passenger in a car accident and have been injured. I know NJ is a no fault state. Am I responsible for all of my medical bills?

I'm sorry you were injured.  Responsibility for your medical bills will depend on what you have chosen for your car insurance.  You can choose and option that makes your health insurance responsible, and then if you get a personal injury award, you have to reimburse the insurance company.  So even if you were a passenger, your car insurance, and possibly your health insurance area also relevant along with the driver's insurance and the other driver if there was another vehicle involved.