Answer:
Not necessarily. Most species of possums in Australia are omnivores, meaning they eat both plant and animal matter. Possums are not the same as opossums.
Possums commonly eat fruit (making them partly frugivorous), grains and seeds (granivorous), plant shoots and nectar. They have also been known to eat insects (meaning they are also insectivorous), small lizards, birds' eggs and sometimes even tiny chicks. Brush-tailed possums in New Zealand, to which they have been introduced, have even been seen to eat whole birds.
Possums' teeth are not the shape of a standard herbivore or carnivore, but have the specialised shape of an omnivore, which allow them to grasp, cut, slice and grind.