Better route: disseminate kits, plus train AND MOTIVATE people to do first aid and call for help. If professionals are that close, such an "organic response" with accent on what NOT to do and how to get 911 going plus kits in every lecture hall and class room (and maybe some AEDs?) makes more sense than creating a corps of earnest uncontrolled amateurs.
Maybe the school can offer a mandatory, one unit class for new enrollees?
Maybe the CERT program? But be careful about letting bunch of people loose with CERT's disaster-oriented first aid, or its tier one first responder training, loose without tight reins.
The issue of on-campus responders used to come up here more often, but the usual outcome/truth is that any system such as people envision it, with Gators and uniforms and equipment caches and radios, involves money, hired professionals (to maintain records, maintain equipment, provide medical control, proved and update protocols, and more), plus legal expenses, is not a reality.
A disseminated "training and kits" system eliminates most of that (someone has to do the training and keep the kits accounted for and current) but gives you bang for for buck and creates a cohort of people interested in first aid and spread everywhere.
