No. You do not receive stimulus payments #1 or #2 for dependents who are older than 16. You can receive the 3rd one for $1400 for any dependent on your 2020 return, though.
You could claim your adult daughter as a dependent on your 2020 return and get the $500 credit for other dependents for claiming her if she met the criteria to be a dependent, but you do not get those first two stimulus payments for claiming her. Sorry.
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