According to our current understanding of physics, as described by Einstein's theory of relativity, it is not possible for an object with mass to travel at or exceed the speed of light in a vacuum. As an object with mass approaches the speed of light, its energy requirements and relativistic mass increase infinitely, making it impossible to accelerate further.
However, it is theoretically possible for an object with mass to approach the speed of light, but it would require an enormous amount of energy and have various relativistic effects. As an object accelerates closer to the speed of light, time dilation would occur, meaning time would appear to slow down for the moving object relative to a stationary observer. Additionally, length contraction would occur, causing the object to appear shorter in the direction of its motion.
One concept that does not violate the laws of physics is the idea of time dilation for objects moving at high speeds relative to each other. This means that two objects moving relative to each other at a significant fraction of the speed of light would experience time passing at different rates.
It's important to note that even if we were to approach the speed of light, reaching velocities very close to it would still require an extraordinary amount of energy and face considerable technological challenges. As of now, our current technology is nowhere near achieving such speeds for objects with mass.