Energized circuit in a 3M Static Shielding Bag (silver color)
I wouldn't put a high voltage spark generator in it but most other stuff will be OK - circuits won't break or burn-out because the resistance of the static bag is higher than a regular multimeter would read. Having said that some may be lower than a couple of Mohm.

This link might prove to be insiteful: -

Do antistatic bags have conductive interior, exterior or both?