According to our current understanding of physics, nothing can move faster than the speed of light in a vacuum, including black holes. The speed of light is considered an absolute speed limit in the theory of relativity. As an object with mass approaches the speed of light, its mass would increase and its energy requirements would become infinitely high, making it impossible to exceed or even reach that speed.
Regarding the expansion of space, it's important to note that the expansion of space itself does not involve objects moving through space at superluminal speeds. The expansion of the universe is the stretching of space itself between galaxies or clusters of galaxies. The expansion is a property of the fabric of space, and it doesn't violate the speed of light limit.
Black holes, like any other massive objects, are affected by the expansion of space. As space expands, the distances between objects increase. If a black hole is located in a region where space is expanding, it would also experience the expansion. However, this expansion does not directly affect the black hole's motion or its gravitational influence on its surroundings. The black hole's behavior is primarily determined by its mass and the curvature of space-time around it.
In summary, black holes cannot move faster than the speed of light, and the expansion of space around them does not cause them to exceed this speed limit either. Our current understanding of physics suggests that the speed of light remains an inviolable barrier, and objects with mass, including black holes, cannot surpass it.