That seems like an interesting plot for a story. Stonepunk? It seems a sufficiently advanced society could have Antikythera type computing mechanisms ground from stone. And extravagant "wood"-working artifacts shaped by sharp stone tools (obsidian single point turning tools for your lathe?). So you could have advanced looms for textiles, etc.. And then without metals you don't have electrical conduction, but what could you do with electrostatics? And telescope and microscope optics seem in the realm of possibilities. How much of our chemistry knowledge depends on metals? Could we have genetic engineering without metals? Interesting.

Children of Time touches on this in some interesting ways: https://en.wikipedia.org/wiki/Children_of_Time_(novel)

Just as likely for there to be no fossil fuels and no metal is for there to be vastly more fossil fuels and metals.

I don't see any reason why it's more likely for an alien civilisation to be suffering from a comparative lack of resources than it is for us to be suffering from a comparative lack of resources.

And if both types exist, we'd be more likely to hear from the ones that have resources than from the ones that don't.

From the western culture point of view I'm sure it seems very weird to not have oil/metal, but you're describing numerous historical non-western cultures. Easter Island, Japan, etc.