No. Koalas eat only a very restricted range of a few eucalyptus leaves. They need eucalyptus trees of a few specific varieties to survive. In very substantial quantities. They literally won't eat anything else. http://www.abc.net. read more
Koalas have a diet of Eucalyptus, particular koalas eat particular varieties of eucalypt so you cannot feed them any old type. As Eucalypts are native to Australia it is unlikely that koalas could have adapted outside of continental Australia and survived in a new environment. read more
The short answer is luck, timing and circumstance. Marsupials actually got to Australia, we think, quite late (relatively) and became stranded here. Koalas then evolved from those earlier marsupials well after the continents had split up, leaving them with no way of getting anywhere else. read more