Yes
Possums eat all types of fruit.
No. Possums do not eat fish.
No. True possums, marsupials of Australia, do not eat chickens' eggs. However, the North American Virginia opossum, the only marsupial in North America, is omnivorous and will eat chicken and other bird eggs when available to them.
Yes, possums (which are not the same as opossums) do eat apples.
Tasmanian devils eat possums
This depends on whether you are referring to possums or opossums, which are quite distinct from one another. True possums, marsupials of Australia (and surrounding islands) have no interest in chickens ("chooks" in the Australian vernacular) or chicken pens, beyond getting some leftover fruit that may be in there. Opossums of north America are known to kill chickens and sometimes eat their eggs.
Possums are unlikeky to eat green tomatoes. They like ripe, sweet fruits.
no
True possums (those found in Australia and nearby islands) do not eat rhubarb leaves.
Possums are expert climbers, and can use their prehensile tail quite well. They will readily eat pears.
No. Not at all. The only meat they eat are insects, but they prefer vegetation and fruits.
The American Opossum (Didelphis virginiana) will DEFINITELY kill chickens. I have caught them in the act many times. Although they usually prefer carrion, slugs, fruit and vegetables, they are quite capable of killing chickens, due, in part to the fact that roosting chickens are quite docile. If the word possum is being used here to refer to the arboreal nocturnal marsupials of Australia and New Zealand, then the answer is "No." Neither Possums nor Opossums are found in the wild in Europe. Opossums are limited to the Western Hemisphere.