Yes! For instance, a very simple example: When you travel from A to B you sometimes can reach that destination in the same time using different paths. "Same",

Yes! For instance, a very simple example: When you travel from A to B you sometimes can reach that destination in the same time using different paths. "Same", in the sense of a certain threshold or uncertainty considering Real World (TM) applications. Furthermore, there can be constructed academic problems, where you have an infinite amount of solutions. Say, traveling from the north to the south pole in shortest time over the surface of a perfect globe.