Well, I would ALLOW anybody to try to do anything.
But I would not allow, and I certainly would not require, people to go to school who don't want to be there and who lack the aptitude to succeed.
I've had a number of students over the years who don't do well with books but could, for example, take a car engine apart & put it back together with their eyes closed. Those kids are miserable in school, but do well in vocational settings.
I really like the European model, in which students who show aptitude are allowed to go on to high school, and those who don't are given vocational training. I think that before students go to high school, they ought to be able to show they have the ability to succeed there. If they don't have the skills, there ought to be remediation available for those students who wish to take advantage of it.
Of course, many FReepers will say that is taking away the students' freedom of choice....