yes, it does. I'm a marine ichthyologist so I know. It's not illegal, as many sharks (and their relatives the skates and rays) are not all protected by law. There is simply too little information on their life histories at the moment to justify listing each one as a protected species. That's why my lab (the Pacific Shark Research Center) is working to build a database of life history characteristics of as many elasmobranchs as possible. We want to clarify age and growth, reproduction, diet and ecology.
by the way, a common fish used for "fish n chips" is actually dogfish sharks. kinda scary, huh? but dogfish are so plentiful that they're not considered threatened.
in decades past, many sharks were also commercially harvested for their liver. It was marketed as "cod liver oil" and is high in vitamin A. Now they mostly synthesize synthetic vit A, but if your mum ever took cod liver oil, it was probably a shark.