No -it takes maturity to own and use a weapon, and students (at high school and at universities) in general do not.
Children in a lot of areas still handle guns all the time when they go hunting, never mind what are essentially young adults. And it wasn't so unusual to have people bringing their guns to school into the '80s in a lot of places. If they don't have maturity now it's because it's been socialized out of them.. But there's really nothing to support teenagers being much less competent by nature or having the gross restrictions on them that they do now. Local areas and colleges should be allowed to make whatever judgment calls they want on this, but I really don't see why guns shouldn't be allowed if maybe regulated in the way concealed/open carry usually is.
Point taken -however, it took a long period of time to socialize teens into becoming little more than overgrown infants. It will take a long period of time to socialize them out of it. So if you do want to start somewhere, let's NOT start with gun ownership.