Yes, you can move folders from accounts to common folders and back.
Sel ect the folder
Ctrl-Shift-Up to move the folder up on the same level
Ctrl-Shift-Down to move the folder down on the same level
Ctrl-Shift-Right to move the folder a level deeper to the right (make it nested or move it into an account)
Ctrl-Shift-Left to move the folder a level higher
I wasn't able to move folders fr om an account while using an encrypted message base (asks for a master password on starting TB), but it worked as advertised while using a plain message base.
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I'm just a user of The Bat! I don't work for Ritlabs.