No, it is not possible to hear the Big Bang today. The Big Bang is the cosmological model that describes the early development of the universe. It occurred approximately 13.8 billion years ago, and since sound requires a medium to propagate, it cannot travel through the vacuum of space. Therefore, there is no sound from the Big Bang that we can hear in the present day.
However, scientists have studied the remnants of the Big Bang, known as the cosmic microwave background radiation (CMB), which is a faint glow of radiation that permeates the entire universe. This radiation was produced about 380,000 years after the Big Bang, when the universe cooled enough for atoms to form. It is not sound but rather a form of electromagnetic radiation, and it has been detected and measured by specialized instruments, such as the Cosmic Background Explorer (COBE) and the Planck satellite.