or you can always make (change) your Lease agreement to put your parents names into it) as proof of addressin order to get OHIP card, you need COPR, ID proof (passport will do) and Address proof. The address proof is the problem. Bank statement is accepted as address proof , but once you open a bank account, it will take a month for the statement. So you are looking at minimum wait of 1 month.
Utility bills in your name is accepted ... if you want to change one of the utility bills to be in their name... but again will have to wait for the monthly bill...