Humans could not possibly have evolved from primates … without substantial intervention.
The problem is chromosome 2.
Primates have 24 diploid pairs of chromosomes. Humans have 23, with our 2nd chromosome being a combination of two chromosomes that are separate in primates.
A creature with 23 chromosomes can’t create viable offspring capable of reproducing itself with another creature that has 24. For it to make offspring, it has to mate with something that also has 23. (And where the various loci for the genes on those chromosomes line up pretty closely.)
Okay — to avoid inbreeding depression of a population of a human type, you need at least 98 people. But this number is under absolutely perfect conditions where people can’t choose their own mates and instead a geneticist tells them: “Hey you! You can only have sex with THIS one over here.” Under less controlled circumstances, you’d need at least 500.
Now go back to chromosome 2. That’s a seriously odd mutation. Dig into chromosome 2, you’ll find it has suppressed centromeres (without which humans would be non-viable) from combining the two chromosomes. They are arranged perfectly to work.
Suppose some random mutation like this happened to one primate. That one would die with no offspring because all the other primates around it have 24 chromosomes. In order for this mutation to survive without inbreeding depression under relatively random breeding …
this *exact same mutation, done in the exact same way* would have to affect 500 individuals — ALL in the same area, ALL close enough in age to be reasonably breeding with each other.
Such a mutation is insanely rare to start with. In fact, I’ve never even heard of such a thing. Now take something that rare, probably 1 in a billion odds, and then after that, 1 in a million that it would create something that could live — and then have that happen 500 times in close geographic and time proximity with all the genes in individuals with that type of strange combined chromosome mutation miraculously lining up.
That’s as close to “impossible” as you are going to find.
However, a very good genetic engineer with an impressive budget could do it.