The concept of "reaching the end of space" is not well-defined within the current understanding of physics. The notion of an "end of space" implies a boundary or edge to the universe, which is a topic of ongoing scientific inquiry and speculation.
According to our current understanding, the universe is believed to be infinite or at least extremely vast. It is expanding and does not appear to have a finite boundary that one could reach by traveling at any speed.
Furthermore, as an object with mass approaches the speed of light, its relativistic mass increases, and the energy required to accelerate it further also increases. As a result, it becomes increasingly difficult for an object to reach or exceed the speed of light. According to Einstein's theory of relativity, massless particles, such as photons, can travel at the speed of light, but particles with mass would require an infinite amount of energy to reach that speed.
Therefore, based on our current understanding, it is not possible for an object with mass, including humans, to travel at or near the speed of light. However, even if such travel were possible, the idea of reaching an "end of space" remains undefined in the context of our current scientific knowledge.
It's important to note that our understanding of the universe is continuously evolving, and future discoveries or advancements in physics may provide new insights into these concepts.