According to our current understanding of physics, it is not possible for an object with mass, such as a planet, to travel faster than the speed of light. The theory of relativity, proposed by Albert Einstein, establishes that as an object with mass approaches the speed of light, its energy and momentum become infinite, which is not consistent with our understanding of the universe.
If we were to consider a hypothetical scenario where a planet somehow traveled faster than the speed of light, it would lead to a violation of causality and the fundamental principles of physics as we know them. The theory of relativity suggests that objects cannot travel backward in time or experience time flowing backward.
In the context of a planet orbiting its star, the motion of the planet is governed by gravitational forces and the laws of celestial mechanics. Even if the planet were somehow able to exceed the speed of light, it would not cause time to flow backward on the planet. The flow of time is relative and influenced by gravitational fields, but it does not reverse its direction based on an object's velocity alone.
It's important to note that the idea of a planet traveling faster than light is purely speculative and not supported by our current scientific understanding.