Here is what I found from IRA regarding who is eligible for an e

Who can claim a dependent's expenses.   If an exemption is allowed for any person who claims the student as a dependent, all qualified education expenses of the student are treated as having been paid by that person. Therefore, only that person can claim an education credit for the student. If a student is not claimed as a dependent on another person's tax return, only the student can claim a credit.

So No, your kid cannot claim that credit.