No, the wave function of a particle going out to infinity in probability does not imply that we can transport to the other end of the universe. The wave function describes the probabilistic behavior of a particle in quantum mechanics. It provides information about the likelihood of finding a particle at different positions in space.
However, the wave function alone does not determine or enable physical transport or movement of particles across vast distances in the universe. The wave function describes the probabilities of finding a particle in different locations, but it does not imply that the particle itself can instantaneously or physically travel to those locations.
The concept of physically transporting to the other end of the universe involves various other factors, such as the limitations imposed by the speed of light, the immense distances between celestial objects, and the laws of physics governing our universe. These factors make physical transport across the universe infeasible with our current understanding and technological capabilities.
While quantum mechanics allows for intriguing phenomena and the exploration of wave-particle duality, the wave function's probabilistic nature does not imply the ability to transport to distant locations in the universe.