Well, there is atomic radioactive decay, which is random. And I think some quantum effects can be described as random in some objective sense, but I'm not sure. But anyway, I don't really understand what you actually mean by "random chance". We don't know if there was some causality (with or without a creator) behind the beginning of the universe, and it's pretty inane to assign probabilities to this universe having the constants it has, or to life arising in a planet, since we don't know whether there are more universes or lifeforms out there. Then, just because it would be too improbable, it does not follow that a creator (whose existence and complexity is yet to be explained without cop-outs) must have then created the universe. And what if we assumed that the beginning of the universe was too improbable and it must have been created by (a/several) god(s)? It's still a gigantic leap to say he created it did with humans as the pinnacle, no, as the very purpose of all creation. Or that these curious meat beings were endowed with an immortal, immaterial soul that is to be judged by their actions, and rewarded or punished for an eternity by a an all-loving God. Or that he'd care at all about us -we might just be a curiosity in the huge symphony of astronomical events he created for his own delight-.