Papadum, papar, or papad is a thin, crisp, disc-shaped food typically based on a seasoned dough usually made from peeled black gram flour (urad flour), fried or cooked with dry heat.
Flours made from other sources such as lentils, chickpeas, rice, tapioca, or potato can be used.
Papadums are typically served as an accompaniment to a meal in India, Pakistan, Bangladesh, Nepal, and Sri Lanka or as an appetizer or snack, sometimes with toppings such as chopped onions, chopped carrots, chutneys or other dips, and condiments.
In certain parts of India, papadums which have been dried but not cooked are used in curries and vegetable dishes. (source)
So can hamsters eat poppadoms?
Yes they can as long as they are plain poppadoms and not flavored at all.