There probably is, but I suspect overall it's not going to support anyone's biases, like we'll discover the natives of some random island in the pacific are genetically the smartest group of people in the world.
i feel like a key distinction here is IQ vs Intelligence. IQ tests were originally _designed_ to prove the racial superiority of white people. Nowadays they still have _some_ racial bias, so you're going to see some IQ discrepancy between races.
Hard not to answer “probably” to that broad question, but with major caveats. I think the correlation would be small if any, & any genetic correlation is currently swamped by cultural/socioeconomic noise. Also, within-group variations are larger than between-group variations, etc
While intelligence is clearly heritable, large "ethnic groups" have far too much within group variation compared to between group variation to make a claim like this. I'd only go so far as to say something like Ashkenazi have higher mean IQ.
Maybe, though it's unlikely we would ever be able to disentangle socioeconomic factors from the genetic, and were we somehow able to do so, the differences are almost certainly very tiny. Methodology would likely never be agreed upon as, unlike rocket science, this would be hard.