No, according to our current understanding of physics, it is not possible for missiles or any other material object with mass to travel at the speed of light.
The speed of light in a vacuum, denoted by "c," is approximately 299,792,458 meters per second (or about 186,282 miles per second). According to Albert Einstein's theory of special relativity, as an object with mass approaches the speed of light, its relativistic mass increases, and the amount of energy required to accelerate it further also increases significantly. As an object with mass approaches the speed of light, its energy requirements become infinitely large, making it practically impossible to reach or exceed the speed of light.
In the context of missiles or any other physical object we encounter in the real world, their mass is non-zero, which means they are subject to the constraints imposed by special relativity. As such, they can never attain the speed of light.
However, it's worth noting that scientists and researchers are constantly exploring and advancing our understanding of physics, and concepts such as relativistic travel and interstellar travel are subjects of ongoing theoretical and speculative research. While we currently don't have practical means to achieve light-speed travel, we can't rule out the possibility of future discoveries or technological advancements that might lead to new possibilities in space travel. But as of now, the speed of light remains an unattainable speed for objects with mass, including missiles.