I believe your question is whether the activated carbon can reduce the organic material on your water and then reduce BOD by this indirect mean. The answer to that question is still no, as carbon as mainly an effect on inorganic substances and little or no impact on organic material.
However you can try purigen which binds organic waste
The answer to your question is no as BOD is proportional to the amount of organic material the aerobic microorganisms in your tank need to be able to decompose that material. Activated carbon does not provide oxygen so as no impact on this at all. I believe your question is whether the activated carbon can reduce the organic material on your water and then reduce BOD by this indirect mean. The answer to that question is still no, as carbon as mainly an effect on inorganic substances and little or no impact on organic material.
However you can try purigen which binds organic waste
Can activated carbon help reduce Biological oxygen demand?