I can run Fate games okay by using GM powers to issue "cards" to the players to represent Fate Points. I don't absolutely have to allow players to pick up cards from the table to their own hands. But it would be convenient.
It would also be essential to some games like Rummy and Munchkin for players to be able to pick up cards off the table and put them into their hands. I don't know of an RPG that allows that yet, but it's only a matter of time.