Just to add to what WaterMom said, you can do it.
BUT, without circulation, you want to take some care to avoid having added chemicals pool in one spot. So, use bleach to chlorinate OR pre-dissolve other forms of chlorine in warm water. Use muriatic acid, rather than dry acid (sodium bisulfate). Use a jet from a water hose to stir up any possible hot spots.
By the way, if you have sludge OR if you had stabilizer, but it's now gone . . . it may take a LOT of chlorine, possibly well over 100ppm, to clean up.
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