According to our current understanding of physics, faster-than-light travel is not possible within the framework of special relativity, which is a fundamental theory describing the behavior of objects moving at high speeds. In special relativity, the speed of light (c) is considered an absolute speed limit, and it is impossible for any material object or information to travel faster than this speed.
The equation E=mc², which relates energy (E) and mass (m) through the speed of light squared (c²), is a fundamental principle of special relativity. However, this equation does not imply that by producing enough energy in a single point in space-time, one could bend space-time enough to achieve faster-than-light travel.
The concept you described, involving bending space-time to bring distant points together, touches upon the theoretical possibility of wormholes or other exotic solutions in general relativity. General relativity is a theory that describes gravity as the curvature of space-time caused by mass and energy. In some speculative solutions of general relativity, it is theorized that the curvature of space-time could allow for shortcuts or "wormholes" that connect two distant points in space.
However, it is important to note that the existence and practicality of such wormholes are purely hypothetical at this point. We do not currently have any experimental evidence or theoretical framework that supports their existence or provides a feasible way to create or manipulate them. The energy requirements and exotic matter needed to stabilize a wormhole, as suggested by current theories, are far beyond our current technological capabilities and understanding of physics.
While scientific exploration and investigation continue, it is essential to rely on the established principles and theories in physics. As of now, the consensus is that faster-than-light travel remains firmly in the realm of science fiction.