According to our current understanding of physics, objects with mass cannot move faster than the speed of light in a vacuum. This includes black holes. The theory of relativity, which is a fundamental framework in modern physics, imposes a speed limit of the speed of light for any object with mass.
Black holes are incredibly massive objects with a gravitational pull so strong that not even light can escape their gravitational field. However, this does not mean that black holes themselves are moving faster than light. The event horizon of a black hole, which is the boundary beyond which nothing can escape, acts as a "point of no return." Once an object or light crosses this boundary, it will be inevitably drawn towards the singularity at the center of the black hole.
While black holes can have significant motion due to various factors, such as gravitational interactions with other objects or the expansion of the universe, their motion does not involve traveling faster than light. The speed at which a black hole moves or the motion of objects falling into a black hole is still subject to the limitations set by the theory of relativity.
It's important to note that our understanding of black holes and their behavior is based on theoretical models and observations. The study of black holes is an active field of research, and new discoveries may refine or expand our knowledge in the future.