No.
MY SPOUSE LIVES ABROAD AND/OR DOES NOT HAVE A SSN
https://ttlc.intuit.com/turbotax-support/en-us/help-article/taxation/married-person-claim-head-household-filing-status/L078u1RSW_US_en_US?uid=lmtc1ov4
https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-credits-deductions/file-taxes-spouse-nonresident-alien/L4AuRKrMd_US_en_US?uid=m5r1a77j
https://www.irs.gov/individuals/international-taxpayers/nonresident-spouse