My fiance would like to claim the EIC for our two children. I am claiming them as dependents. Can I claim the child care credit? We live together.

TT seems to allow him to take the EIC, even though they are not his dependents and his status is single.  I am claiming head of household and would like to take the child care credits as I made more money this year (he was in school for half the year).  Is this acceptable?