Consider why not to unplug it while running.
A "short cycle" is when a heat pump compressor is running, stops, and then then restarts too soon -- before system freon pressure has had time to equalize. That means the pump is doing a hard start against full back pressure, which it's not rated for (why would it need to be?)
Your heat pump has a protection circuit to prevent it from starting too soon after it shut off. However, when you unplug it, that circuit "forgets" and it can restart immediately, causing a short cycle.
Some people don't understand why short cycling is bad, and unplug and re-plug on purpose to get it to run immediately. So unplugging should not be done for that reason.
If people are unplugging it on purpose, they need to be scolded to stop.
Accidental unplugging is a simple matter. Wait 10 minutes before plugging it back in again (if it has been running). That lets the freon balance/settle in the system, and avoids a "short cycle".
However, the greater concern is why it's being unplugged frequently. If it is being unplugged by accident by people meaning to unplug something else, then perhaps a more suitable receptacle can be provided for those other users. However, if it's being struck, then it's in a bad location and the socket needs to be moved or the area provided with physical protection.
Don't defeat the ability to unplug it altogether. You might want to unplug it in a hurry if it catches on fire.