The 'Carry On' mod allows you to pick up items and put them back down.
Github:
https://github.com/Tschipp/CarryOnThis includes the Pixelmon PC, Cloning Machine, Healer, etc...
Issues:
* While 'carrying' an item, if you are attacked by a wild Pokemon, it glitches the client, requiring a client restart.
* If you pick up a PC, and place it down in a different location, it leaves behind a ghost PC (possibly due to it being 2 blocks tall). You can then break both PC's with a pickaxe, thus duping the original.
* When you pick up a cloning machine, it leaves behind a LOT of ghost blocks.