I Checked the introduction date:
Date First Available October 10, 2014
So a bit older.......
To make that work, you need to add a full 32 bit toolchain , then add all the needed 32 bit drivers and possible needed libraries. So, yes possible, but in hours to do all that (and additional hours to maintain) it would cost you a whole lot more then a printer.
EDIT:
Looks like Brother no longer supports this printer either, nothing returns for product support or driver download (even though that model name pops up when you enter 2320
in the search field)
https://www.brother-usa.com/brother-support/driver-downloads/driver-search#q=HLL2320D