Possible but not likely... it will only work if you do not import gross amounts of organic matter/foodstuffs. For example... if the culture application is fishless and runs with animals/corals that require little or no feeding (tank-o-Xenia... tank-o-Briareum, e.g.), then it can work very fine.
But anything that demands the handling of gross solid matter (overgrowth of algae, feeding of fishes or corals daily) or if the water flow and/or skimming is modest to poor... then it will be a problem.
Perhaps its best then to keep the DSB in a large bucket/barrel inline and downstream for ease of maintenance. Then utilize a primary means of biological filtration (live rock, fluidized bed filters of you must for heavy loads).
kind regards,
Anthony