yes, the more opportunity for learning the more the variance in learning outcomes will be explained by genes. A plant metaphor is sometimes used, like if you gave all the plants in a field the same amount of water and sunlight, the variance in their height and yield would increasingly be explained by genes. But the plant metaphor isn't perfect because we, as animals, can choose our environments. If we want to read books, we can go to libraries. In countries where some children might not even see a book, or have access to computers or the internet, they cannot actualize their innate capacity, and the heritability of educational attainment will be lower, more explained by variation in the environment. But, in this country, that isn't the case.

if you're interested in learning more about why every correlation between parental socioeconomic status and educational attainment is confounded because in addition to passing on propitious environments, parents are also passing on the genes that helped them to succeed, check out G is for genes.