MFS Husband is nonresident alien - can I report my child as dependent?

I am a US citizen living in Japan. My husband is a nonresident alien. He has not lived in the U.S. in over 10 years and has no U.S. income. 

We both pay for our child's expenses.

As my husband is not filing tax as he has no U.S. income, could I report my child as dependent (qualifies for child tax credit)?

I am choosing MFS. I work and pay for half of household and child's expenses.