Yes and No.
No, your daughter cannot also claim a tuition credit. Only you can claim the tuition credit, because she is your dependent.
However, she can still enter the 1098-T, on her return, if she needs to claim expenses to keep her scholarship tax free (or reduce the amount that is taxable) or offset a 529 distribution, in her name. In her interview, she will encounter a screen "Amount used to calculate education deduction or credit." Be sure the amount in that box is $4000.
