well, putting aside the theory that nothing can move faster than the speed of light, then yes, it would be possible.
You have a planet and everything seen from the planet orbits it in a single day. The further away something is from the planet, the faster it must be moving in order to orbit the planet in a day (relatively speaking). So if an object had a large enough orbit, then yes, its speed would be greater than the speed of light.
However, this doesn't work backwards. If you have a set universe, an object in the middle that is rotating will repeat what is seen once a day. Even if a star is far enough away that its orbit would be greater than the speed of light, it doesn't appear to be any farther away than, say, the moon is from earth, since it is seen every day. Its true distance doesn't account for its relative orbit. Now, regardless of how far something is from earth, its "speed" is the same as something that is half the distance, twice the distance, or any other distance from the earth.