UPDATE 3/29/19
There have been some changes to the Tuition Credit on a Provincial level for Ontario and Saskatchewan for 2018 and New Brunswick as of 2017. Tuition is no longer a provincial credit for students in those three (3) provinces.
Therefore, any Provincial amounts to enter the tuition transfer will not be available, as seen in previous years.
Yes you can, this link will fully answer your question(if needed there are links on that page that may be helpful as well):
Can I claim both federal and provincial tuition and education amounts?
