Leaving your motorcycle on the center stand without engine oil for a day should not cause any immediate damage. However, it is generally not recommended to store or leave a motorcycle without engine oil for an extended period, even if it's not being used.
Engine oil serves multiple important functions, including lubricating the engine components, reducing friction, cooling the engine, and providing corrosion protection. Without oil, these critical functions are compromised, and over time, it can lead to damage to the engine components.
If you need to store your motorcycle for an extended period, it's best to drain the engine oil and replace it with fresh oil before doing so. This helps to protect the engine and prevent any potential issues that could arise from prolonged storage without proper lubrication.
Additionally, it's a good practice to follow the manufacturer's guidelines and recommendations for maintenance and storage. They provide specific instructions to ensure the longevity and proper functioning of your motorcycle.