Yes, a properly made and maintained katana is designed to have a very sharp edge. The cutting edge of a katana is typically honed to a high degree of sharpness, allowing it to efficiently cut through targets with minimal force.

The sharpness of a katana's edge is achieved through meticulous blade forging, grinding, and polishing processes. Skilled swordsmiths pay careful attention to the angle, geometry, and precision of the edge during these processes to ensure a keen cutting edge.

However, it's important to note that the sharpness of a katana's edge can vary depending on factors such as the skill of the swordsmith, the quality of the steel, and the level of maintenance. A well-crafted and properly maintained katana should have a razor-sharp edge that is capable of making clean and precise cuts.

Due to the potential danger posed by a sharp katana, it requires responsible handling, proper training, and adherence to safety practices when using or displaying the sword. It's essential to exercise caution and respect the weapon's capabilities to prevent accidents or injury.