In most developed countries, there are no parasites found in commercially available raw beef. However, there are several parasites that are present in raw beef in developing and undeveloped countries, including Taenia solis (the beef tapeworm).
If you are asking about beef cows, yes they certainly do. They may not produce as much as a dairy cow, but they still produce milk, at least enough for her calf to grow on. Beef itself, though, does not produce milk.
In Trinidad, there is canned corned beef and it do not have a shortage here. but i think in some countries there are shortages because they do not produce it in that specific country or maybe there is something wrong with the products out there.