A habitable zone is just a distance from a star where a planet *could* have liquid water on its surface because it’s getting the right amount of light from its star. So yes, all stars have habitable zones, but for many other reasons, planets in those zones might not be able to support life. For example, the star could be a flare star that is unstable and periodically gives of large bursts of radiation that would kill all life on the planet.
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