Here's why:
* Lack of Propulsion: The Space Shuttle's engines weren't powerful enough to escape Earth's gravity and reach the Moon.
* Limited Fuel Capacity: The Space Shuttle carried a limited amount of fuel, not enough for a lunar mission.
* No Lunar Landing Capabilities: The Space Shuttle was not equipped for landing on the Moon.
Instead of the Space Shuttle, the Apollo missions used a specialized spacecraft designed for lunar travel. The Apollo missions took about 3 days to reach the Moon.
So, to answer your question directly, the Space Shuttle could not reach the Moon.