No, the acceleration of space due to dark energy does not provide evidence that the Big Bang occurred earlier than the currently accepted age of the universe, which is approximately 13.8 billion years.
The concept of dark energy emerged as a way to explain the observed accelerated expansion of the universe. It is believed that dark energy is a form of energy that pervades space and exerts a negative pressure, causing the expansion of the universe to accelerate over time. This discovery was made in the late 1990s through observations of distant supernovae and has since been supported by various other cosmological measurements.
The age of the universe is determined through a variety of methods, including measurements of the cosmic microwave background radiation, the abundance of light elements, and the rate of expansion of the universe. These measurements, combined with the framework of the Big Bang model, provide the estimate of approximately 13.8 billion years.
While dark energy affects the expansion rate of the universe, it does not provide direct information about the time of the Big Bang. The acceleration of space due to dark energy is a more recent phenomenon that began to dominate the expansion of the universe after a few billion years from the Big Bang. The presence of dark energy does not alter our understanding of the early stages of the universe's evolution or the estimated age of the universe based on other observational evidence.