Yes, absolutely. The soles of running shoes are made with a special type of foam that is designed to withstand the higher ground impact forces exhibited while running. This foam underfoot, called a midsole, makes running more comfortable and offers more durability over non-running shoes. Furthermore, a running shoe’s upper will hold your foot in place better and offer more breathability than a non-running shoe. In general, it is not recommended to run in casual sneakers.