This led me down a bit of a rabbit-hole. It turns out that no, you don't need pottery to boil things, because you can do it just fine in combustible materials like animal hide or birch bark... so long as you keep the water level consistently high enough, because then the container material will never get hotter than 100 degrees Celcius! So that's kind of obvious once you think about it, but what's interesting about this is that nobody ever considered it until just recently and the whole of paleo-anthropology "knew" that humans couldn't boil things until the invention of pottery![1] To me this is a particularly interesting and surprising example of how, in scientific disciplines, bad assumptions can stick around unquestioned even though from the perspective of physics it's quite obvious that they're bad assumptions.
Edit: add reference to some experimental verification[2].
[1] https://paleoanthro.org/media/journal/content/PA20150054.pdf
[2] https://link.springer.com/article/10.1007/s12520-023-01843-z