Simple answer: Yes. 1099-NEC income is earned income and that qualifies you for the child based EIC (for 2021 only, the Additional CTC is not earned income based, so you get that regardless of income source).
But, as the other reply said, it depends on the math. "Self Employment Tax" (SET) is in addition to
income tax (if any, probably not). SET is how the self employed pay their Social Security and Medicare ("FICA") tax.
