Yes you can. It's just a tiny bit complicated, but you will mirror the data on your banned console and lose the data on the one you are transferring to (so if you prefer save progress on the latter, use savedatafiler or the other ninjhax thing first, to export your saves.
Follow my tutorial here for manually transferring stuff. When you are done, your unbanned console will no longer read its own files from SD, but it will read the SD files from your old one. And in your case (2 different consoles) you MUST follow all of the directions. You can't simply swap the movable.sed. You have to edit it. ->
http://www.maxconsole.com/maxcon_fo...ter-failed-transfer-NNID-already-transferred)
You can already downgrade to 9.2 from 10.3. That's all you need to get this done. decrypt9wip or even rxtools can give you your nand.fat16.xorpad that you need. (after you downgrade).