Yes, Queen Elizabeth II is capable of driving a car, and she has been known to do so on various occasions throughout her life. She learned to drive during World War II while serving as a mechanic in the Auxiliary Territorial Service. However, as a public figure with extensive security considerations, the Queen typically has chauffeurs who drive her to official engagements and public events.
That said, there have been instances where the Queen has been spotted driving herself. She has been known to enjoy driving around her private estates, such as Sandringham and Balmoral. On these occasions, she often drives a Land Rover or Range Rover, which are popular vehicle choices for her.
The Queen's ability to drive and her occasional personal driving experiences demonstrate her independence and adaptability, even though her official engagements often require her to be driven by a dedicated security team.