Yes and even then, you have to go to extremes.

I've ( ahem ) purposely tried to reproduce some of the Youtube effects of an overcharge.

I've left LiPo's on charge for DAYS after full charge.

The batteries get warm and swell up, but do not explode.

To get the types of results you see in these videos you have to abuse the packs purposely... e.g. run much higher charge currents for longer periods of time.

Doing the latter causes heat build up and quicker chemical changes than what the packs can sustain, hence the problems.

But that's akin to taking a propane torch to the packs... you are DELIBERATELY abusing the packs.

If you use a GOOD computer controlled charger with automatic safety cutoffs the likelyhood of a LiPo fire is very small.
That is why if you stick with electrics it's a good idea to make this investment... along with the benefits to longevity.