No. You cannot get the CTC for your GF's children. If your GF and the children lived with you the entire year in 2022, and she earned less than $4400, (not counting Social Security) then you may be able to claim them and get the $500 credit for other dependents for each of them---but that is all. You cannot use them to file as Head of Household, get earned income credit or the child tax credit. Sorry. If you become legally married that will be different.
https://ttlc.intuit.com/questions/4499708-what-is-the-500-credit-for-other-dependents-family-tax-cre...
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