Education

see IRS  publication 970 page 60

 

Coordination With Tuition and Fees Deduction A tuition and fees deduction (see chapter 6) can be
claimed in the same year the beneficiary takes a tax-free distribution from a QTP, as long as the same expenses aren't used for both benefits.

 

it never says you can't transfer unused dollars from parent to student (and let's assume the student has to be a dependent of the parent)