Intelligence is defintely a heritable trait but only to an extent. If you look at some brilliant people they usually had very supportive/intelligent parents. This is not always the case and you can see millions of examples otherwise. I don't believe this limits anyone. We all come with traits that we don't want. It is our duty to try to minimize our bad traits and exploit our good ones.
The best quote I tell people that bring this question up is the "12 infant quote" from American psychologist John Broadus Watson.
Give me a dozen healthy infants, well-formed, and my own specified world to bring them up in and I'll guarantee to take any one at random and train him to become any type of specialist I might select – doctor, lawyer, artist, merchant-chief and, yes, even beggar-man and thief, regardless of his talents, penchants, tendencies, abilities, vocations, and race of his ancestors. I am going beyond my facts and I admit it, but so have the advocates of the contrary and they have been doing it for many thousands of years.
when I took an art class my teacher explained that Frank Lloyd Wright was surrounded by pictures of buildings and architecture by his mother while he was a baby. She essentially molded him to be an architect. Although I can't find anything online but I'll take her word for it.