Private office spaces can and do exactly that as long as it complies with the various privacy and biometrics laws out there. MIT is a private university.

I don’t say this as someone who is in favor of that sort of thing beyond a certain point.

Technically the university could literally send a real human to follow you around while you’re inside their buildings. Your professor actually kind of sort of does that while you’re in class and even bases your grades on your behavior, and can report code of conduct violations.