According to our current understanding of physics, there is a fundamental limit on the speed at which information or matter can travel through space, known as the speed of light. In a vacuum, the speed of light is approximately 299,792 kilometers per second (or about 186,282 miles per second).
When an object approaches the speed of light, it experiences time dilation and length contraction according to the theory of special relativity. As an object's velocity approaches the speed of light, its mass also appears to increase, requiring more and more energy to accelerate further. As a result, it becomes increasingly difficult to reach or exceed the speed of light.
If an object were to travel faster than the speed of light, it would violate our current understanding of physics and the principles of causality. It would lead to paradoxes such as time travel into the past and contradictory cause-and-effect relationships.
As for causing disruptions in space-time around an object, the concept of causality is closely related. The theory of general relativity describes gravity as the curvature of space-time caused by mass and energy. Any massive object, including a person, would cause some degree of curvature in space-time. However, this effect is generally insignificant for ordinary objects. Only extremely massive objects, such as black holes, have a significant gravitational influence on their surroundings.
In summary, while there is a maximum speed (the speed of light) in our current understanding of physics, there is no specific notion of disrupting space-time around an object due to its velocity, unless it reaches extreme masses and gravitational effects come into play.