I would say that much of my definition of health is at least somewhat based on my culture.
For me, health is the ability to do all of the things that a person is typically able to do. By that, I mean that I feel that I am healthy if I am able to do things like walking, picking up moderately sized objects and going up stairs easily. If I am not healthy, some of these things might be impossible for me. If I am sick, I might not be able to walk. If I am too obese, I might not be able to go up stairs.
This sort of definition is at least somewhat culturally defined. I do not live in a culture in which I am expected to do heavy manual labor. If I lived in such a culture, I might think that I would have to be able to do that kind of labor in order to be healthy. By contrast, if I lived in a culture in which being fat was seen as appealing, I would probably not see walking up stairs as a major indicator of health.
Thus, I would say that different societies have at least slightly different visions of what constitutes health.