Having a car nowadays in many cases is regarded as a necessity, not a luxury. If you can drive well, there is no justification for your father to forbid you to have and drive a car.
With regard to accidents, you cannot avoid travelling in some kind of vehicle to and from your place of study, and accidents happen to drivers and passengers alike.
It seems that you do not have to obey your father in this, but you should be kind and gentle towards him, and try to convince him; do not confront him by saying no, rather be tactful with him.
And Allaah knows best.