The plastic would have to be very tough fo them not to be able to chew through it. Mice or even rats have chewed a plastic bin which I use to run the outboard
I may buy a metal feed bin or suspend it from rafters but then it's up with the bats and squirrels
I know the neighbours had rats from feeding the birds. We live next to a 'Common' so also get foxes, badgers and the occasional stray dog, oh and loads of cats, I'm just waiting for a horse to wander through the lounge