To the extent that there are provincial-territorial guidelines, or some provinces and territories have requirements in place, they generally are regarding workplace health and safety or quality assurance related to diagnostic capabilities. They differ from jurisdiction to jurisdiction. Rather than just directing a specific population, such as laboratory workers, the bill is broader—the Canadian public.
There are no comprehensive provincial schemes that address every type of laboratory in a province, such as medical diagnostic versus water testing versus university, etc., and they certainly don't focus on requirements such as keeping inventories or tracking who has access to what.