Yes - I've done this a few times. We went to the food court at ASSp and asked for an empty box, filled it with laundry and sent it home! LOL! The front desk took care if it for us.
AKL concierge took the things we wanted to ship, packed them, and had UPS pick them up for us.
Another thing we do is try to do our resort souvenier shopping all at once on our last day, and have that purchase shipped home, too.
Just be aware that it's gonna cost ya. Worth every penny to me, though. I hate checking bags and luggage!