Yes, hiking shoes can be worn in the snow. The only thing you need to keep in mind is that waterproof hiking boots are better than regular hiking shoes. Hiking shoes are more comfortable than hiking boots, but they don't offer as much protection against moisture and snow. If you're looking for a relatively affordable option that suits your needs, look into https://www.nortiv8shoes.com/collections/hiking site. They will be more comfortable and have better traction on an icy surface than sneakers or boots.