Yeah mane, I have done it, I'm all KNF and JADAM, you need to set up a biofilter, it's possible yet takes special care, but it works. There was a Facebook group with organic hydroponics and the guy who made the group has a great set up. Humic acid really makes it flow easy. I did it with my Aerogarden XL, it went fine for months.
Really I say go living soil and use your inputs for folair feed and soil drench. It's fun to play with organic hydroponics, although it's probably best with living soil.
I love making inputs and it saves a ton of money, let me know how I can help.