According to our current understanding of physics, faster-than-light (FTL) travel is not possible within the framework of special relativity or general relativity. The theory of relativity, as formulated by Albert Einstein, sets a cosmic speed limit at the speed of light in a vacuum (c), which is approximately 299,792,458 meters per second.
The equation E=mc^2, which relates energy (E) to mass (m) and the speed of light (c), is not directly applicable to achieving FTL travel. This equation states that mass can be converted into energy and vice versa, but it does not provide a means to bypass the speed of light.
The concept you described, involving bending space-time to bring two distant points together, is related to the theoretical possibility of faster-than-light travel through a phenomenon known as a wormhole. A wormhole is a hypothetical shortcut or tunnel in space-time that connects two distant regions, potentially allowing for faster travel between them. However, the theoretical existence and properties of wormholes are highly speculative, and there is currently no experimental evidence to support their existence.
Additionally, even if wormholes were possible, they would require the presence of exotic forms of matter with negative energy density, which have not been observed or created. The energy requirements and stability issues associated with traversable wormholes pose significant challenges that remain unsolved.
It's important to note that our understanding of physics is constantly evolving, and future scientific advancements may lead to new discoveries and insights. However, based on our current knowledge, faster-than-light travel remains firmly outside the realm of possibility as described by the theory of relativity.