If anything, men shouldn't drive. As I recall, men have a higher rate of accidents than women - enough that I recall hearing about an auto insurance company in the UK that only insured women.
If I remember correctly, I believe it's men who are more likely to get into fatal collisions yet women are more likely to commit minor fender benders.
When I was in high school, Driver's Ed was mandatory in my school district. I remember the teacher showing us an auto-insurance report or study of some kind and talking about it, and it pretty much corroborated this.
It said women were generally more likely to have auto accidents, but the accidents men had were, on average, much costlier and more likely to be fatal—to the extent that men were both more expensive to insure and more likely to die in an auto accident, despite having fewer accidents than women overall. However, teenage-driver accidents were
markedly costlier and deadlier than adult accidents regardless of gender, but teenage boys in particular were especially likely to have serious and fatal accidents.
That was obviously the real point of sharing the report with us, but the teacher didn't actually say whether teenagers who took Driver's Ed were less likely to have auto accidents...