Yes, you may self-identify for both. You would then have to go to your Graduate Program Director to ask for a letter of support in advance of the deadline (they have a deadline date for requests up on the York site actually), and you'd go from there.
http://www.yorku.ca/grads/future_students/incoming_awards.php?id=1
http://www.yorku.ca/grads/future_students/incoming_awards.php?id=2