The concept of the Big Bang refers to the origin of our universe approximately 13.8 billion years ago. According to the prevailing scientific understanding, the Big Bang marked the beginning of the expansion of the universe from an extremely hot and dense state. However, it is important to clarify that the Big Bang was not an explosion within a preexisting empty space, but rather the rapid expansion and subsequent development of the universe itself.
If we consider the existence of another "empty" universe elsewhere in space, it would be subject to the laws of physics and cosmology as we currently understand them. The expansion of the universe is governed by various factors, such as the density of matter and energy, as well as the cosmological constant. If these conditions were similar to those that gave rise to the Big Bang in our universe, it is possible that a similar expansion event could occur in another region.
Nevertheless, it's crucial to note that our knowledge of the universe is limited, and there are many open questions and areas of active research in cosmology. The nature of the universe and its potential for other big bang-like events in different regions of space are still subjects of scientific investigation and speculation.