No.
Koalas do not make homes of any kind. They do not make nests or shelter within hollows. They simply cling to the limbs of the eucalyptus trees they inhabit.
Koalas have a range of home trees which they move between several times a week.
Koalas are made of the same biological parts as most other mammals.
It is made of fur
koalas lose homes and protection from wild animals such as dingoes
People cut down the koalas' homes to make farms, logging, and urban houses. Urban sprawl leads to koalas killed on the road and attacked by pets. In the past, people hunted koalas and made them almost extinct; but laws were passed in the 1920s to protect koalas.
God made them that way
Koalas live in eucalyptus trees. They know the trees within their home range by their scent. Koalas' rather large noses are exceptionally sensitive, and can detect differences between the trees. Also, a tree can "belong" to several koalas, as koalas do move between their home trees quite regularly. During mating season, male koalas rub their scent gland on the base of a tree so that other male koalas know not to encroach on that territory.
Koalas have adapted to changes in their environment as people build close to them, their colonies are getting smaller and more isolated.
The homes were made of mud bricks and poo but the earliest homes were made of reeds.
Koalas do not have a home in the sense of a single, central location. Their "homes" are always in eucalyptus trees. They do not use tree hollows, nor do they make nests. Koalas nestle in the forks between trunk and branches, and shelter within the branches and leaves. This gives them adequate protection from all kinds of weather. Koalas do have a range of home trees, however - trees that are part of each koala's specific territory.