Mob that changes skin based on player?

Have an idea here that I'm not sure will work...

Is there any possible way for a mob (disguised as a player) to have some sort of skill that changes its skin to match the player's skin specifically?

For example, say you logged into the server and saw the mob standing right in front of you, disguised as you... with your skin...not sure if this is even possible

Love to hear your thoughts!