No. And contrary to popular belief, lake Winnipeg, while large, is very shallow and with large swaths not very navigable by ships with a good draft. Ask the Coast Guard rescue unit there and they'll tell you.
On lake Ontario, the best place is Hamilton. HMCS STAR is located at what used to be the RCN's (pre-unification) Great Lakes Training Center. Good berthing facilities and lots of room to build a residence or something akin to it, especially if the RCN kicks out the Army that "invaded" the place after unification.

You could also build a shore training facility equal to the one in Quebec City and instantly double the simulators/ops room training facilities available to East Coast reserve units.