You'd have to do some regular maintenance on the system, Opsec, though it's pretty much a minimum.
There is also a need to add some trace elements to keep the vegetables in the grow beds really healthy. One way to do this would be by the occasional addition of some 'worm oil', (the liquid run-off from a worm farm), to the beds. That would not cause any problems for the fish either.
I've got an old 12' diam. above-ground swimming pool that I'm trying to set up for growing the fish, (silver perch), with, so far, 6 old bath-tubs for the grow beds, (need 4 more), plus 10 small worm farm kits. My idea is to set everything up as a continuous cycle system: Fish detrirtus/urine/excreta supplies ammonia to the grow beds, wherein nitrifying bacteria converts it to nitrites, then nitrates, which are taken up by the plants. The water returning to the tank is clean and oxygenated during the process. Some of the water from the fish tank to be used to water the worm beds attached to each grow bed, and some of the worm oil allowed to flow into them occasionally. Some of the worms can be used to help feed the fish, and some to feed to our chickens. Excess worm oil and the worm castings will be used on the organic vegetable beds, of which we currently have 10 (5' X 12'). Originally had 20, but we got flooded out 4 times, and it's taking time to rebuild them all.