Yes we can. But not in the scientific way. Society changes. You cannot replicate your test on a society because of that. Natural laws do not. So we can reliably hypothesize and test it.
> That's still science though.
It's not a science. By definition.
> They very much are a part of the natural world, and presumably have some kind of "natural laws" guiding them.
Yes. They have natural laws guiding them. It's called physic, chemistry, biology, etc. Social "science" doesn't delve into "natural laws". Society is run, not on natural laws, but human laws.
> Creationism is not, as it is about things outside our observable world.
No it is not. It is about our observable world but uses the bible ( another thing in the natural world ).
Laws, history, political science, economics, etc are are real sciences. They are political/propaganda/etc tools to shape society.
Using your logic, just because literature exists in the natural world, it must mean literature is a science. Obviously it is not.
Just because you can observe society doesn't make it a science, no more than the fact that you can observe a play or a concert makes them a science.
In order for your claim to hold, society has to be constant. But they are not. We must have multiple copies of the same society to test on. We do not. And societies are guided not by natural law, but human law. Which leads to an absurdity because different human societies have different laws. If we follow your logic, then means that there are different natural laws depending on where you live and what country you are from.
For example, that there are laws against interracial or interreligious marriages in some societies isn't a natural law, it's a human law. There is no science in social science. No more than there is science in religion or astrology.