No, detergent has the same effects on your cells as it does bacterial cells. The main way soap works is by dissolving the lipid bilayer of your epidermal cells and allowing them to be washed away, along with anything stuck to them, like dirt. In order to survive in soap, the bacteria would need to survive in basic environments and survive contact with (primarily) sodium stearate. I don't know precisely how that develops, but it isn't like "magically all multicellular life is immune to the effects of sodium stearate on the lipid bilayer"