A big no no. Bleach and antibacterial soap is bad for septic tanks. You will kill all the bacteria that eats up and dissolves the chunks. That’s why there’s RID-X which adds good bacteria and enzymes.
However, you can add a cup or two of bleach to a water well to kill nasties.
I read somewhere that it’s a good idea to stock up on pool bleach than bottle bleach, because you can make a boatload of bleach with the pool tablets. Can anyone confirm?