Yes. You would first claim the amount on his tax return. Then, if he has an amount that he can transfer, you enter him as a dependant on your return to do the transfer.
This FAQ tells you how to claim tuition fees in TurboTax: https://turbotax.community.intuit.ca/community/family-education/help/how-do-i-claim-my-tuition-fees/00/873598
This FAQ tells you how to transfer unused tuition credits: https://turbotax.community.intuit.ca/community/family-education/help/how-do-i-transfer-my-unused-tuition-credits-to-someone-else/00/873652