No, the link is tenuous, demonstrated by the mere fact that you can get better at IQ tests, does that make you more intelligent? Intelligence is much more complex than pure genetics, and IQ testing has a worrying history, quickly and sadly becoming connected to eugenics and therefore scientific racism. Focussing on a statistical justification for a claimed genetic variance is just thoughtless and doesn't add up, we should not take the work of statisticians, for example Richard J. Herrnstein & Charles Murray's 'The Bell Curve', as an adequate explanation of neurology or genetics. Ironically people that like to talk about race and IQ tests may themselves be lacking the knowledge or intelligence to understand the IQ test's place in history.
The IQ test was invented in 1905 by French Psychologist Alfred Binet to test a child's "mental age", his test was then picked up and translated for the US military by American eugenicists and became a mainstay of eugenics thought. American eugenicists went on to influence government policy, lobbying for forced sterilisation programs, and leading to the Supreme Court ruling in favour of the practice in Buck v. Bell (1927) and the subsequent forced sterilisation of over 64,000 Americans. This shameful piece of US policy went on to influence Nazi Germany to even more tragic ends. Scientific understanding of intelligence has since developed and discoveries such as the "Flynn effect" (the yearly average increase of global IQ scores), have allowed scientist to develop a more nuanced understanding of intelligence as a combination of genetics and environment.
Focussing just on race when there are so many factors that influence intelligence is too shortsighted to be passed off as scientific analysis. There are indeed so many extra societal hurdles that can fall down racial lines in terms of access to education and even nutrition in many cases, to not account for this in a statistical analysis is flawed. Furthermore most of these unfounded theories just fuel racist supremacist movements, and are used by right wing commentators to argue against affirmative action and other positive discrimination or equality policies. People that write about this issue would have a lot more of their questions answered if they studied history and racial inequality in their societies with an open mind, and not just seek to cherry pick scientific data to mis-convey complicated statistics as a white supremacist dog-whistle.