According to our current understanding of physics, nothing can travel faster than the speed of light in a vacuum. This applies to all objects, including black holes. The theory of relativity, which is a fundamental framework in physics, sets the speed of light as an absolute speed limit.
It's important to note that the motion of a black hole itself is not primarily determined by its own speed but by the gravitational forces acting upon it. Black holes are incredibly massive objects that exert a strong gravitational pull on their surroundings. As a result, they can influence the motion of nearby objects, stars, and even galaxies.
As for the expansion of space, in the context of the current understanding of cosmology, the expansion of the universe does not involve individual objects moving through space faster than the speed of light. It is the space itself that is expanding between distant objects. This expansion is governed by the dynamics of the universe on a large scale and is described by the theory of cosmic inflation and subsequent expansion.
While it is true that the expansion of space can cause galaxies to recede from one another at speeds greater than the speed of light, this does not violate the principle of special relativity because it is the space itself that is stretching, rather than the galaxies moving through space faster than light.
In summary, black holes, like any other object with mass, cannot move faster than the speed of light. As for the expansion of space, it does not cause individual objects to travel faster than light, but rather describes the stretching of space itself on a cosmological scale.