Absolutely not!! Police will throw your sorry azz in jail where you'll stay until springtime. Your fancy sports car will be turned into an oil rig or fishing boat.
Allowed ?
There's nothing about weather or time of year in the traffic regulations. If you have a valid licence and insurance you can ride any time you want to. Although, not many do - there are loads of "fair weather riders".
But if you ride in the rainy season (October-May) in Vancouver without decent clothes, you will get pretty wet and miserable.