If they were public computers, probably no. They could trace it to me though, through the key cards used to get into school. These computers, unfortunately, requires one to sign in on all of them.
So I suppose you'd crack the local admin password on each of the machines (which is remarkably simple) and set up the miner as an "all users" startup program. The only problem with that is that it's time consuming.
Just speculating, by the way. I love speculative hacking. =P
EDIT: Wait, you have to literally use a key card to sign into the computer? That's a bit odd, isn't it?