There is... and its called aquaponics.
In its most basic essence, aquaponics is using live fish (waste) to grow plants and vegetables in a recyclable water system. Aquaponics is a symbiotic combination of hydroponics (growing plants without soil) and aquaculture (raising marine life in captivity).
While the science of aquaponics may seem to be relatively new, it is in fact an ancient and almost forgotten practice. The ancient Aztecs were the first culture we know of to practice aquaponics, and evidence exists that the practice has been used in the rice paddies of China for thousands of years.
Aquaponics is a relatively simple system to understand; however, it can get very complicated when the chemistry of the system is taken into consideration. An aquarium (varying in size from your home tank to large industrial warehouses) holds fish that are fed an organic, protein-rich diet which then in passing creates waste in the water. This waste is primarily composed of nitrogen and ammonia, but the bad news is that these compounds, if left unfiltered, will build to toxic levels and kill the fish and whatever else is in the tank. The good news is that these compounds are exactly what most vegetative plants need to grow and flourish.