Yes, you can. I did it without any problems. I avoided that "corrective" thing to my length; did new growth only. I had no problems and loved the increased movement/softness in my hair as the roots grew and were relaxed again and again. Early on I had scalp burns from an incomplete neutralization-yes..at the salon!! I used SILK ELEMENTS MILD from SALLYS.
Caveat: I no longer relax my hair, I'm 7 months into my transistion.