Yes, a well-made and properly maintained katana has the potential to cut through wood. The sharp and finely crafted blade of a katana, combined with the cutting technique and force applied by a skilled practitioner, can allow it to slice through various materials, including wood.

However, it's important to note that the ability of a katana to cut through wood depends on several factors, including the type and hardness of the wood, the sharpness and quality of the blade, and the skill and technique of the person wielding the katana. Harder and denser woods will offer more resistance and may require greater force or repeated strikes to cut through effectively.

Additionally, cutting through wood or any other material with a katana is typically not a recommended practice outside of controlled training or demonstration environments. It can damage or dull the blade, and there is always the risk of accidents or injury if not performed with the necessary skill and caution. Proper training, guidance, and safety precautions are essential when handling a katana or any bladed weapon.