>>12500117Theoretically yes. Though, IQ tests may be hiding certain qualitative differences in intelligence between groups. So for instance Jews and east Asians, both have higher group averages than whites, both would have a comparable number of people in the high range of intelligence, yet east Asians have an absolutely terrible achievement history in mathematics. In fact China has fewer Nobel prize laureates per capita than any Western European country. Another comparison would be south American countries, they have a higher average intelligence than India across the board, yet Indians are extremely successful compared to Brazilian immigrants, for instance.
This is due to genes which may exist exclusively in certain groups and not others, equal IQ scores across groups doesn't necessarily translate into truly equal ability. The fatal flaw with IQ testing is that it's not thorough enough, it can't distinguish between mnemonics and rote memorization from g and other aspects like brain metabolism/organization. In general, I would say people are more bound by their group's average IQ than their own, gene frequencies are a group trait, not an individual one.