Yes you can. But not after medium depth or deeper peels. You would have to let the skin heal first.
Classification of chemical peels:
Exfoliation - can be used daily
AHA 5-10%
Retinoids
Very superficial peels
Alpha-hydroxy acid (AHA) - glycolic acid and lactic acid up to 50%
Beta-hydroxy acid - (BHA) - salicylic acid (excellent for acne prone skin since it cleans pores)
Trichloroacetic acid (TCA) up to 10%
Superficial peels - reach the epidermis - usually performed every 4-6 weeks
TCA up to 30%
AHA - up to 70% (left from 2 to 20 min)
BHA
Jessner’s solution – (contains 14% resorcinol, 14% salicylic acid, 14% lactic acid and ethanol)
Medium depth peels - reach the papillary dermis - usually performed once in 6-12 months.
TCA 30% to 40%
Glycolic acid 70% + 35% TCA
Jessner’s solution + 35% TCA
Glycolic acid 70%
Deep peels - reach the reticular dermis - Can be performed once every few years or once in a lifetime.
TCA 50% or more
Phenol
The depth of penetration depends on many variables:
The concentration of the peel
The pH of the peel
Thickness of the skin
How many layers of the peel are applied
How long it stays on
Unlike a deep acid peel, a dermaroller doesn't remove entire layers of skin (removing entire layers makes the skin prone to infection, uneven pigmentation or scarring and it takes a long time to heal).
With a dermaroller, you achieve deep renewal but the micro-holes are surrounded by untouched skin, which makes it much safer and quicker to heal. Therefore you can go much deeper with a dermaroller than with acid peels.