It is possible...and "simple"...considering your A1200 is towered.
Connect whichever one you want as DF0: to the onboard header.
Get an external drive and remove the electronics to reuse. Plug the electronics into the external floppy connector and re-route it back inside the case and then connect it to the drive you want as DF1:.
Done it myself. Works fine. And being mostly behind the scenes there is no mess.
