Based on the search results, the planet closest to the moon right now cannot be determined. The search results provide information on visible planets and their proximity to the moon on specific dates in September, October, and November 2023. However, none of the search results provide information on the current date, which is November 01, 2023. Additionally, one of the search results states that Earth is the closest planet to the moon since the moon orbits Earth. Therefore, it can be concluded that Earth is the planet closest to the moon at any given time.