When you want to post something on someone's Facebook wall, but the fact that the information concerns someone else who might see deems the information un-postable on the wall, therefore unwallable.
Person 1: Dude that is HILARIOUS I need to put that on Vicky's wall
Person 2: Dude it's unwallable, Sasha's friends with her on Facebook Person 1: Dude you're so right, close call!
To remove the need for a wallet by replacing the cards within with digital extensions of the cards. Popular options for this included the Unwalleted app for smartphones
Once Jim had entered all of his cards into his smartphone he realized he was now free to go out unwalleted