Not in the way you're implying. There's an IQ threshold that correlates somewhat with income, but correlated gains drop (kind of vanish) after it, and that threshold is pretty low; it might be 100.
Nothing you just said disproves anything I claimed. Billionaires tend to have significantly higher IQ than average. The same is true for high income people.
I think it is in fact not the case that high income people generally have significantly higher IQ than average. As for billionaires: when was the last billionaire IQ survey done?