No. When characters are moved, any items left in dbox are lost. That includes AH sales and spare gear people might have had stored in dbox. There's also the problem with impersonation. You could pretend to be a banned character finally getting their character back, or unknowingly inherit the bad name of said banned character. And if the character was merely inactive, they would be rather annoyed when they find out you are responsible for their loss of items, gil and name when they came back from a long trip abroad...