According to our current understanding of physics, it is not possible for matter with mass to travel at the speed of light in a vacuum without warping space. This is a consequence of Einstein's theory of relativity.
As an object with mass approaches the speed of light, its relativistic mass increases, and more and more energy is required to accelerate it further. As the object's speed approaches the speed of light, its mass would theoretically become infinitely large, requiring an infinite amount of energy to reach or exceed the speed of light. This is not feasible within the framework of our current understanding of physics.
Additionally, as an object with mass accelerates, it causes a distortion of space and time around it. This distortion is known as spacetime curvature. As the object's speed increases, the curvature of spacetime also increases, and near the speed of light, the distortion becomes significant.
Particles that have no rest mass, such as photons (particles of light), can travel at the speed of light in a vacuum. Since they have no mass, they do not experience the same difficulties in reaching that speed.
It's important to note that our understanding of physics is based on current theories and may evolve with future discoveries. There may be phenomena or principles yet to be understood that could potentially change our understanding of the limitations of matter traveling at the speed of light.