Would a Project Manager be able to do this?

[jg_nuy]

Project management experience would be useful, but it sounds more like you are looking for one of the following:

Event Scheduler: They have experience managing large-scale events, including scheduling attendees, allocating resources across locations, and potentially using software for logistics.
Logistics Coordinator: Their expertise lies in optimizing movement and resources. They can handle the complexities of scheduling students across various sites while considering factors like distance and travel time.