No, he is too old to be behind the wheel. I imagine he thinks he is invincible and I believe it's quite difficult to stop him from doing anything he wants to do. (If the images of him portrayed over the years are to be believed.)
I know that I love driving as it gives me my independence and I am a good and confident driver. However, I now think twice about night driving (on coming lights are now so bright they dazzle) and if there is ice on the roads I tend to delay visits or errands. I'd say that is a slight lack of confidence emerging.
However, I don't suppose Prince Phillip has ever doubted himself in any capacity. That is a good thing for an older person, but he could endanger lives other than his own if his reactions at 97 are not so good. His car rolled over. That MUST have shaken him up.