E fields can charge tiny capacitance with a leakage path, so de-ionizer's and/or setting RH to 50% are employed to make the environment more EOS safe.
If anyone has put Xmas tinsel near a TV tube, just turned off will see the tinsel capacitance rise in charge level with the angle of the tinsel.
Ben Franklin tried to use lightning power to store charge with a kite.
It didn't work, and he was lucky it didn't ;)
But yes it can but depends on how low leakage it is , or the quality factor of the plastic as the dissipation time can be pretty quick. It takes triboelectric action to create a charge imbalance and and a bipolar de-ionizer or high humidity > =50% to neutralize or balance the charge.
As I recall TEK Diff Probes with 1pF and FET's rated for 25V would blow from EOS just moving the wand and looking sideways. (I'm just kidding. The tech who repaired it so often, said she was tired of fixing it so often ;) Although when I implemented a EOS protection plan plant-wide in the early '80's, a charge meter recorded 200V on my finger just from raising one foot off a nylon carpet after grounding myself. Q=CV so a change in body capacitance to carpet C , Q/C=V