There is not a civil nor "legal" right to drive, it is a privilege the state may grant. Further, if students and parents enter into agreements/contracts to send their children to private schools and those schools create rules or policies which, through those agreements/contracts, they require parents and students to agree to abide, those rules become enforceable.
Technically, a school may not, of course, if a state has given someone a legal right to do something, such as drive on public streets prevent a minor from driving but a school whose rules are not followed may, in turn, terminate a student's right to attend. However, if parents and students sign agreements with a school that say that, for example, a student will not "drive to school" or "will abide by all school rules and requirements" (one of which is not to drive to school or school events), the restriction is not one that keeps students from driving on public streets, but one that ties the restriction to school functions/activities. Such a line is a fine one and, if the school were public (meaning it was a government actor, not private) then there may be a violation of legal rights as one government agent (a school) would not normally be able to ignore the laws of a state. But, again, if the agreement signed when parents contract to send a child to a school includes an agreement to follow those rules or states the rule itself, then people are seen to willingly contract themselves into abiding by such rules.
DISCLAIMER: Answers from Experts on JustAnswer are not substitutes for the advice of an attorney. JustAnswer is a public forum and questions and responses are not private or confidential or protected by the attorney-client privilege. The Expert above is not your attorney, and the response above is not legal advice. You should not read this response to propose specific action or address specific circumstances, but only to give you a sense of general principles of law that might affect the situation you describe. Application of these general principles to particular circumstances must be done by a lawyer who has spoken with you in confidence, learned all relevant information, and explored various options. Before acting on these general principles, you should hire a lawyer licensed to practice law in the jurisdiction to which your question pertains.
The responses above are from individual Experts, not JustAnswer. The site and services are provided “as is”. To view the verified credential of an Expert, click on the “Verified” symbol in the Expert’s profile. This site is not for emergency questions which should be directed immediately by telephone or in-person to qualified professionals. Please carefully read the Terms of Service (last updated February 8, 2012).