Can I sue the driver of the car I was riding in if I was injured in a Florida car accident?

You can bring a claim against anybody who bears responsibility for your injuries. If you were the passenger in a vehicle and that driver is at fault for the accident, yes you bring a claim against the driver of that vehicle, rather than the vehicle that they were involved in, the second vehicle. Now if they both share some fault, then you’ll be able to recover against both vehicles. Both the vehicles that you’re traveling in, as well as the vehicle, the second vehicle that you’re involved in the accident with.