According to the current understanding of the universe's size and the limitations imposed by the theory of relativity, it would not be possible to travel from one end of the universe to the other even at the speed of light. This is because as an object with mass approaches the speed of light, its relativistic mass increases, requiring an infinite amount of energy to reach or exceed the speed of light.
Moreover, the notion of the universe having an "end" or a well-defined edge is not well-established. The observable universe, which is the part of the universe that we can see, has a diameter of about 93 billion light-years due to the expansion of space. However, this does not imply that there is an edge or boundary to the universe beyond which one could travel.
It's important to note that the concept of distance becomes more complex on cosmological scales due to the expansion of space. The universe is continually expanding, and the rate of expansion is accelerating, as we discussed earlier. As a result, the distance between objects can increase even at speeds less than the speed of light.
In summary, due to the limitations imposed by the theory of relativity and the continuous expansion of the universe, it is not possible to travel from one end of the universe to the other, even at the speed of light.