Based on our current understanding of physics, it is not possible to create a ship that travels at faster-than-light (FTL) speeds. The reason for this is rooted in the theory of relativity, specifically Einstein's theory of special relativity.
According to special relativity, as an object with mass accelerates, its relativistic mass increases, and its energy approaches infinity as it approaches the speed of light. As the speed of light is approached, the amount of energy required to accelerate the object further becomes prohibitively large. In fact, the energy required to accelerate an object with mass to the speed of light is infinite.
Moreover, as an object approaches the speed of light, time dilation occurs. Time slows down for the object in motion relative to an observer at rest. This means that even if we could somehow overcome the energy problem, the passage of time for the travelers on the FTL ship would be vastly different from those outside the ship. This creates paradoxes and violates causality, leading to inconsistencies and conflicts with our current understanding of the universe.
Therefore, based on our current scientific knowledge, it is not possible to construct a ship that can travel faster than the speed of light.