To add to this considering that genetic variations between peoples on the African continent are larger than the variations to anywhere else, this is also very unlikely. I think it's a reasonable assumption that genetic variation and variation in physical features are somewhat correlated.
You are misinterpreting this, as does almost everyone else. Phenotypic variance is almost completely orthogonal to number of unique SNPs (which is what this generally refers to).
> genetic variation and variation in physical features are somewhat correlated.
This is not the case. You can have narrow population bottlenecks (reducing SNP diversity) followed by high variance in selective pressure. This is exactly what happened to early Europeans. You had a small initial population spread out to inhabit a large variety of ecosystems.