According to the information on the IRS website, you can. (I assume you mean "dependent" where you said independent).
Here is a link to the IRS page: https://www.irs.gov/individuals/international-taxpayers/us-citizens-and-resident-aliens-abroad-head-...
As I understand it, if your unmarried daughter, who is not a foster daughter, lived with you more than half the calendar year and you paid more than half the household costs, you can claim HOH status - even though she is not your dependent.
(HOH = "head of household")
