No, you can't. Impaired operation laws are specific to specifically-defined vehicles, those being trains, streetcars, vessels, and "motorized" vehicles. It doesn't include human-powered bicycles. Also, while the provincial impaired driving penalties don't apply to eBikes, the federal Criminal impaired driving offences do.
Assuming you haven't hurt anyone, the most you can get for riding a bicycle drunk is a provincial offences ticket for public intoxication, and maybe a ride home in the back of a police cruiser.