Being pollinator and producing honey are two independent features.
Bats are already pollinators in real world
Bats are very important pollinators in tropical and desert climates. Most flower-visiting bats are found in Africa, Southeast Asia, and the Pacific Islands.
Two species of nectar-feeding bats, the lesser long-nosed bat and the Mexican long-tongued bat, migrate north a thousand miles or more every spring from Mexico into Arizona, New Mexico and Texas.
Producing honey instead is done by certain insects to feed their little ones, and it is done by eating and then regurgitating the nectar produced by the flowers.
Since bats are mammals they would feed their young ones with milk and then they would proceed directly to eat their main food, so producing honey for a mammal has little sense. Also producing honey as energy storage for harsh times has little sense, since fat tissues are better suited for this and follow the bearer more conveniently.