That sounds like some wishful thinking to me, but nope - most anthropologists agree that it arose around the time of the Agricultural revolution. I don't know where you're getting your info, but it's way, way off base. FYI, patriarchy doesn't just mean male-run or male dominated societies, it also refers to other social factors having to do with other types of inequality and domination (vs. cooperation and egalitarianism). But even if you're talking about truly male-dominated societies, that's a very, very recent thing as well.
Even former Trump strategist Steve Bannon inadvertently acknowledged that patriarchy was a rather recent development when he opined that the #MeToo movement would lead to unimaginable shifts in our culture. “The anti-patriarchy movement is going to undo 10,000 years of recorded history,” Bannon said.
Here's some links to further info:
