Yes, you may add bleach to the general body of pool water, probably over a return, while you have CYA in your skimmer. CYA and bleach are quite compatible. In fact, Trichlor and Dichlor are simply compounds of the chlorine from bleach plus CYA. I wouldn't pour the bleach into the skimmer, but that's just because it's better not to have concentrated chlorine flowing through your heater, pump and filter.

Richard