No, milk producers in Canada use a logo that indicates 100% Canadian milk from Canadian farms. A drop of foreign milk would obviously not be 100% Canadian milk. And even if they don't use they don't use that exact logo they still advertise being 100% Canadian milk (e.g., https://www.loblaws.ca/en/2-milk/p/20188873_EA).
https://dairyfarmersofcanada.ca/en/canadian-goodness/blue-co...