No, you may not claim the child tax credit for a child with an ITIN. The child must have an SSN to be a qualifying child eligible for the child tax credit (CTC) or the additional child tax credit (ACTC).
See link: https://www.irs.gov/faqs/childcare-credit-other-credits/child-tax-credit#:~:text=No%2C%20you%20may%2...).
