Technically, it is possible to project an image onto the surface of the moon. However, it would require an incredibly powerful and precise laser or light source, as well as a way to focus and aim the light accurately over such a long distance.

Additionally, the surface of the moon is not perfectly flat, and it is constantly changing due to meteor impacts and other geological processes. This means that any image projected onto the moon's surface would likely be distorted or obscured over time.

Furthermore, there are also legal and ethical concerns surrounding the idea of projecting images onto the moon. The Outer Space Treaty of 1967, which has been ratified by 110 countries, including the United States, prohibits the use of celestial bodies for national or commercial gain. Therefore, any attempt to project an image onto the moon would need to be carefully evaluated to ensure that it does not violate international space law.

In summary, while it may be technically possible to project an image onto the moon's surface, it would require advanced technology and may not be practical or legal to do so.