No, it is not advisable or practical to sharpen a wooden katana. A wooden katana, also known as a bokken or bokuto, is specifically designed as a training tool and is not intended to have a sharp edge like a real metal sword.

Wooden katanas are made from solid hardwood and are meant to replicate the weight, balance, and handling characteristics of a real sword without the risk of injury associated with a sharp blade. The purpose of a wooden katana is to allow practitioners to train and practice sword techniques in a safe and controlled manner.

Attempting to sharpen a wooden katana can be dangerous and potentially lead to the creation of sharp splinters or jagged edges, increasing the risk of injury during training. Moreover, wooden swords are not made from the same materials or with the same construction techniques as real swords, so sharpening them would not yield the desired result.

If you are looking for a sword with a sharp edge, it is recommended to explore real metal swords, such as properly crafted and maintained katana blades made by skilled swordsmiths. However, always ensure that you follow local laws and regulations regarding the possession and use of such weapons.