Yes, a katana typically has a sheath or scabbard known as a "saya." The saya is an integral part of the katana's design and serves as a protective covering for the blade when it is not in use. It is made of wood, traditionally crafted from lightweight and durable materials such as Japanese magnolia (ho wood) or lacquered wood.

The saya is designed to securely hold the blade and provide a safe and convenient way to carry the katana. It is fitted with a kurikata (knob) and a sageo (cord) that allows the saya to be attached to the wearer's obi (belt) or carried in various ways. The sageo can also be used to tie the saya to the wearer's armor or as a decorative element.

The saya is often decorated with intricate carvings, lacquer work, or inlaid designs, reflecting the artistry and craftsmanship associated with the katana. It is an essential component of the katana's overall aesthetic and functionality, protecting the blade and allowing for ease of use and transportation.