Yes, the car you drive into the park does not need to be registered to you. You may rent or borrow a car to drive into the park and still use your pass to enter at the PER VEHICLE rate. Pass owners driving vehicles rented through Uhaul, Enterprise, Hurtz or any other rental company can enter the park at the PER VEHICLE rate.
License plates are not linked or added to a card.
To better understand the benefits of a PER VEHICLE rate please read the following: