There is some ambiguity here because "hood" can refer to two things. If by "hood" you mean the entire STI structure with the underlying shift and brake mechanisms (Shimano Dura-Ace ST-R9100 11-Speed STI Shifters | Competitive Cyclist) rather than just the cover (Shimano STI Lever Hoods | Competitive Cyclist), then yes, a "hood" is generally sold with a lever as an integrated unit.