Is Unreal Engine safe for Healthcare IT network?

I work at a healthcare organization and we are evaluating to use this for staff training simulations.

Is this safe to house on our IT network?

How do you define “safe” in IT? Nothing is safe… You have full access to UE source code so you can have a look whats going on. If a product you create in UE is safe to operate - it depends on your skills how you program and operate it.