Hawks generally do not reside in caves. These birds of prey prefer to build nests in tall trees or on cliff ledges, where they have a commanding view of the surrounding landscape and easy access to hunting grounds.
Caves are typically dark, humid, and enclosed—conditions that are unsuitable for hawks. Additionally, hawks need ample open space to fly, soar, and maneuver, which caves cannot provide.
If you see a bird near a cave entrance, it is more likely to be a species adapted to dark, enclosed spaces rather than a true hawk.