When he started there, as bottom level IT support, he had access to everything. Admin passwords, doctor's passwords, he could write prescriptions and put a doctor's name on it. He could order anything and everything, and send it anywhere. He could read your medical files, if you were a patient there at any time. There were no restrictions, only some logging.
The place is only >>this week<< securing the network, because the last security guy quit and a new guy started.
I don't know what it's like in the US, but where he is there should be regular audits and criminal negligence charges for this kind of thing.
I know, networks change everything. But inside a secure facility its often (always) the case that personal integrity (and maybe some audits) is used to ensure correctness most of the time.
Somebody working in a hospital could steal prescriptions off of patient's tables, could lift wallets and purses, heck could even take a knife and attack people. But instead of hobbling everybody and locking everything up, we instead trust folks. And take action when somebody un-trustworthy violates that.
First, "impossible" is taking the argument to the extreme. Second, the insecure network OP described is negligence. Perhaps they were even reckless. That's not a new concept.