While it can obviously be done, why do it if you can use something more suitable? To my mind using a rimfire on deer is a poacher's trick, or a stunt shooter's trick. The animal deserves more respect than to shoot it with something marginal that may very well lead to a painful lingering death unless bullet placement is gnat's breath precise. Theory is one thing, real world happenings are quite another.
I would whack one or two with a .222 or .223, in a long-ish barrel (not a short loud carbine) and see if the landowner complains about the noise. If he does, then I would think hard about a suppressor, or think hard about finding somewhere else to hunt.
