Answer: No, it is not possible to have erosion at all.
Explanation: Erosion is a natural geological process that has the capability remove the debris of the rocks from the Earth's surface through several erosive agents such as soil, water etc. Being a natural process , it is not possible to not have erosion on Earth's surface. There are certain steps that can be taken to prevent it but cannot completely finish the process.
Erosion occurs in many forms such as soil erosion, water erosion, wind erosion etc.