Neither of my parents are particularly "bright" and today I work as a computer programmer. I'm skeptical of this premise.
It shows the heritability of intelligence at age 26 as 88%. Perhaps you're one of the 12% (forgive the statistically meaningless phrase - you get the idea). Or perhaps you underestimate your parents.
All of these forms of intelligence are genetically valid, but phenotype is determined by environment. You may get a great farmer, or you might get a researcher depending on environmental conditions...
So yes, they do matter a lot on outcome. If you haven't found a computer early, there could be a problem of you being outmatched and not proceeding alongside that path.