No, missiles cannot travel at the speed of light. According to our current understanding of physics, the speed of light in a vacuum, denoted as "c," is the ultimate speed limit in the universe. It is approximately 299,792,458 meters per second (or about 186,282 miles per second). This limit is dictated by Einstein's theory of relativity.
As objects with mass accelerate, they require more and more energy to reach higher speeds. As an object with mass approaches the speed of light, its energy requirements become infinite, making it impossible for anything with mass to reach or exceed the speed of light. Missiles, like any other physical object with mass, are subject to these limitations.
Therefore, while missiles can travel at extremely high speeds, they are bound by the laws of physics and cannot reach or surpass the speed of light.