No, don't stick a nice charger like a Nitecore into a LiPo charging bag.
First off. These chargers are designed for good air circulation to cool the batteries during charging. Heat kills battery life for all Li-ion batteries. Sticking the charger into a bag will kill air cooling and retain waste heat.
Second. You shouldn't be using removable LiPo batteries in any APV or mod. These things can blow. IMRs are much safer batteries. They can vent, but with much less violence than LiPo. LiPo bags are for charging LiPo batteries used by RC hobbyists, not IMRs used by vapers.
Don't charge overnight while you are asleep. The less risk, the better.