I am not a driver but I do have a university degree.
To get a degree you need to demonstrate higher-order critical thinking skills like the ability to draw new conclusions from combinations of existing research, analyse results of research, and create 'new' things in whatever field you work in, whether that means a new design of electronic circuit, or a new equation or theory.
To be a driver you don't need to do this, in fact I guess an 'innovation' is positively discouraged
, so on the whole I would say the answer is no.
However, many people incorrectly think 'intelligence' in the academic sense is just being able to read a book with some facts in and regurgitate it quickly and accurately in a written exam. This I assume you do need to do to pass the the training course.
Of course, as other people have already said, success in any job is down to many other factors like willpower, "emotional intelligence"(the ability to get on with other people), the ability to prioritize and think clearly when faced with difficult choices and personal danger etc.