They make fireproof bags to charge batteries in if you're really worried. Most good chargers are made of fire proof plastics and other safety features.
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LiPo Bags aren't fire proof they're fire resistant, they're meant to contain the fire more than completely avoid it all together.
I use ammo boxes which can hold more volume and are generally more fire resistant that LiPo bags I've seen a few catch fire if they're not properly sealed.
The protection on the chargers we buy for vape use is a joke, there is no protection there for LiPo useage anyway.
The built in USB charger that comes on board of the mod (what most people use to charge their LiPos) that's not safe at all, especially when you deal with multi-cell LiPo packs.
I charge my LiPos with
this charger and even then I'm still paranoid and stay in the same room before I go out to the field and discharge at the field before I come home.