Not directly. It has to do with the type of person they are, and there are tons of psychological studies to determine how much of that is intrinsic or nurtured. No one I know around me is as explorative as I am in any area, and no one I really know listens to such a variety of music as I do. However, I did meet this one guy last year, but he didn't have an influence on my desire to explore, just let me explore more.
Is not the "type of person" someone is in part culturally determined?
As far as the "tons" of studies about the determinants of what psychology might term personality, the jury is still very much out on that one, and other social and behavioral sciences have a thing to say about it too, not that the armchair psychologists will listen.
That isn't to say I'm not fascinated by the newer behavior genetic models for personality traits - I am. But there are zero behavioral traits that have a direct genetic cause. Any behavior geneticist (who is both competent and honest) will tell you that a complex multilevel interaction between both genes and environment determines behaviors or personality traits - there is no "rock and roll" gene, just as there is no premarital sex gene, no smoking crack gene, etc.
The cultural/social environment an individual grows up in is a significant portion of those environmental factors. It is that environment that supplies the meaning certain genres have (or don't have) for the individual.
I suppose a shorter, sweeter way of explaining this would be to say that different musics mean different things to different people. It is the meanings invoked by listening to (and by being the sort of person that listens to) those musics that result in taste differences.