there is no widely accepted scientific proof that time travel is a logical impossibility. The topic of time travel is still a subject of active research and speculation in physics and philosophy.
However, it's worth noting that there are several theoretical challenges and paradoxes associated with time travel that make it difficult to reconcile with our current understanding of the laws of physics. These challenges include the grandfather paradox, the causality paradox, and the consistency paradox. The grandfather paradox, for example, suggests that if you were to travel back in time and prevent your grandparents from meeting, it would create a contradiction because you would never be born to go back in time in the first place.
Various theories and models have been proposed to address these paradoxes, such as the Novikov self-consistency principle and the many-worlds interpretation of quantum mechanics. However, these proposals are still speculative and not yet proven.
It's important to distinguish between the logical possibility of time travel, which remains an open question, and the practical feasibility of constructing a time machine, which currently lies beyond our technological capabilities based on current scientific understanding.