I will use Wikipedia in order to obtain a common definition for civilization.
A civilization (or civilisation) is a complex society that is characterized by urban development, social stratification, a form of government, and symbolic systems of communication (such as writing).
In the modern sense of ...
You don't need to put a pot on the fire to boil water or make soup. You can put a clean stone in the fire and then put the very hot stone into the water in the pot. This way has been traditionally used in the Basque Country to boil milk to in a wood pot that would be quickly damaged if put in the fire. Basque language has even a word for those stones: esne-...
You don't need metal pots and pans for cooking. It's possible to cook, if need be, in wooden vessels. As @jwenting said: clay works excellent. In other words, pottery. The invention of pottery predates metallurgy by millennia.
pottery from China
pottery from Japan
if you have the option, make one out of clay as it's the most durable alternative.
If you don't, wood will do. Or if you're near a beach there may be large shells. The skull of a decent sized animal may also be available to you. If you're lucky enough to have a good sized piece of leather, some sinew, and an awl, you could make a water pouch with that.