Can hyperpigmentation from a glycolic chemical peel on dark african american skin be reversed by doing more chemical peels?

In darker skin types- chemical peels have to be performed very carefully and with someone with experience treating non-Caucasian skin. I usually start off with very low concentrations of Glycolic acid peels on darker skin tones (30%) and then slowly work my way up to stronger peels (70%), if needed. One of the risks of any chemical peel is post-inflammatory hyperpigmentation. A board certified dermatologist will be able to design a post-care regimen for you to use consisting of various prescription creams and sunscreens to assist you with this pigmentation. Given you had pigmentation from one peel, I would avoid another one. 

You have post inflammatory hyperpigmentation which means when your skin is burned (chemical peel) it heals with too much pigment and it will happen again with another chemical peel.  see a board certified dermatologist for a treatment regimen