No. In order to claim head of household, you have to have a dependent. Without a dependent, if you are not married, you would only be able to file as single. Even if you are providing for your family, it only counts if they are able to be claimed on your tax return as dependents.
If your daughter is claiming her son, then you would not enter him on your return at all. You will need to delete him.
You can do this by selecting My info>>Delete next to his name.
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