Yes, if she qualified as your dependent. Otherwise, no.
However she may use the money you paid to claim the tuition credit or deduction on her own return*. If she is the dependent of her parents, they may claim the money you paid.
*A student, under age 24,
is only eligible for the refundable portion of the American Opportunity
Credit, on his/her own return, if he supports himself by working. He/she cannot be supporting himself on
support fro other people, 529 plans or student loans & grants. He/she must have
actually paid tuition, not had it paid by scholarships & grants. It is usually best if the parent claims that
credit.
