Yes, Ichigo Kurosaki, the main protagonist of the manga and anime series "Bleach," is capable of fighting without his sword. While Ichigo's primary weapon is his Zanpakuto (a spirit weapon commonly wielded by Soul Reapers), he possesses formidable combat skills and abilities even when disarmed.

Ichigo is a skilled hand-to-hand combatant, and his natural speed, agility, and strength make him a formidable opponent in close-quarters combat. He has received extensive training in swordsmanship and martial arts, allowing him to hold his own against powerful adversaries.

Additionally, Ichigo possesses spiritual powers and the ability to harness and manipulate spiritual energy, known as Reiatsu. He can use these abilities to enhance his physical capabilities, such as increasing his speed, strength, and durability.

While Ichigo's Zanpakuto, Zangetsu, greatly amplifies his powers and provides unique techniques, he has demonstrated the ability to fight effectively even without it. In situations where he's unable to access his sword or it's temporarily unavailable, Ichigo relies on his innate combat skills and spiritual power to continue battling.