No, a spot of light on a wall produced by a very fast rotating laser cannot travel faster than the speed of light, and it does not violate the law that information cannot travel faster than light.
The speed of light in a vacuum, denoted by 'c', is a fundamental constant of nature. According to the theory of relativity, nothing with mass can travel at or exceed the speed of light. This principle applies to objects, particles, and information.
When a laser beam is used to create a spot of light on a wall, the speed at which the spot moves across the wall is determined by the speed of light. Even if the laser beam rotates rapidly, the spot of light cannot move faster than the speed of light. The rotation speed of the laser beam affects the angle at which the spot moves, but not its velocity.
In terms of information transfer, the spot of light on the wall cannot convey information faster than the speed of light. Any changes in the spot's position or pattern are limited by the speed at which the light can travel from the laser to the wall. The information about the movement of the spot is transmitted through the photons of light, and this transmission speed is always less than or equal to the speed of light.
Therefore, the spot of light produced by a rotating laser does not violate the law that information cannot travel faster than light.