No, koalas do not live in the Amazon rainforest. Koalas are native to Australia and are primarily found in eucalyptus forests along the eastern coast of the continent.
Their habitat is specifically adapted to the eucalyptus leaves, which are their main source of food. In contrast, the Amazon rainforest is home to a diverse range of wildlife, including many species unique to that ecosystem, but koalas are not among them.
In summary, while both the koala and the Amazon rainforest are important to their respective environments, they are completely separate in terms of geography and ecology.