Not being from Hongcouver, of course, I wouldn't know if such a thing exists in your area Trev. Can't say as I've heard about such a shop anywhere I've been!
Maybe you'll have to go over to Home depot and rent the tools you need for the job. I know that out here they will cut wood if you purchase it from them.
You could also try a cabinet shop. Do a 'walk-in' though, cuz even if they won't do it there, chances are that one of the employees would be willing to make private arrangements.