No and it doesn't. There is a shared printer available to all faculty (by network from their workstations) in a locked room. So you go there to collect your print outs and usually they are between colleagues' print outs that were sent at around the same time.

So that doesn't fix the issue and is already much more annoying than a small printer (other room, lock, finding your print out). Add any further hassle like id cards on top and nobody will use it.