To what extent though? There are many possible factors that can go into one trait, but what would happen if you took nature and nurture head on head? To word it differently, if you knew the heights and other physical attributes of a boy, and you knew the conditions of malnutrition he'd be going through while growing, is there a way to calculate years before what his full-grown height would be? Ehh that wasn't the best example. Maybe if you knew the factors that will be contributing to the trait of a person, would there be a way to calculate how much each attribute would come into play and what the outcome would be?(This is a real question. You know a lot more about these things then I do.)
Oh, okay. The many-worlds interpretation... That's got to be one of my favorite subjects in science. I never knew Schrodinger's Cat played a role in that field though.