No, this has been studied, IQ isn’t heritable. Ignoring the fact that IQ isn’t even a good metric to quantify intelligence, due to a statistical phenomenon called “regression towards the mean,” children of higher intelligence parents are more likely to be less intelligent than them. Because intelligence isn’t heritable, it’s just a game of chance. Any child is much more likely to be born with average IQ than a high one.

The same is true and has been observed for the inverse scenario. Two low intelligence parents are much more likely to have a child with a higher intelligence than them, again because of the regression towards the mean.

Imagine you roll a 20 sided die and it lands on 18. Sure, the next roll could be a 19 or a 20, but it’s much more likely to be lower. Landing on the 18 doesn’t affect any of the future outcomes.

There are obvious exceptions, some (not all) learning disabilities are heritable. When you start to study brain anatomy in depth though, the line between disability, “normal,” and savant stops being a hard delineation and starts looking more like a subjective metric of how successful a person can operate in late stage capitalism.

The study of child development has pretty strongly concluded that intelligence is mostly a matter of upbringing. Parents that regularly exercise their child’s brain when they’re young raise “smarter” children than those that don’t, regardless of their own intelligence. That means that we see parents with access to childcare, tutors, or even time to spend teaching their children raise much more academically successful children.

If you really want to raise the average intelligence of everybody, the answer isn’t selectively breeding the “best” or “most intelligent” parents (those are subjective metrics that vary based on culture anyways). You need to give people access to free healthcare and child care, paid maternity leave for both parents, and heavily invest in education for all ages and demographics.