It depends, to be able to file as head of household you need to meet these requirements:
Please make sure your dependent is a qualifying person. and is entered correctly in TurboTax. Answer all head of household questions carefully.
The dependent must be a qualified---blood-related -- dependent. A GF or BF does not qualify.
Am I Head of Household?
https://ttlc.intuit.com/questions/1894553-do-i-qualify-for-head-of-household
https://ttlc.intuit.com/questions/2900097-what-is-a-qualifying-person-for-head-of-household
If you qualify as Head of Household, when you enter your filing status (single or married filing separately) into MyInfo, and then enter your qualifying dependent, TurboTax will offer HOH as your filing status.