According to our current understanding of physics, including the theory of general relativity, it is not possible for any information, including light, to escape from inside a black hole. A black hole is a region of spacetime with an extremely strong gravitational field from which nothing, not even light, can escape once it has passed a boundary called the event horizon.
The concept of "another universe or dimension" is speculative and not well-defined within the framework of our current scientific understanding. In theories such as string theory and some cosmological models, there are speculative ideas about the existence of other universes or dimensions beyond our own, but their nature and properties are still highly debated and not empirically confirmed.
If such other universes or dimensions exist, it is unclear whether any interaction or communication would be possible between them and the interior of a black hole. The extreme conditions inside a black hole, including the intense gravitational forces and the breakdown of classical physics, make it difficult to make definitive statements about what may happen inside or beyond a black hole.
Overall, our understanding of black holes and the nature of other universes or dimensions is limited, and further scientific advancements and theoretical frameworks may be required to explore these concepts more deeply.