Your +3.3V can drive an NPN, which in turn turns on a PNP. (They resemble a sziklai pair.) This method allows the PNP to turn off automatically, as its bias terminal is referenced to the positive supply rail.
(My simulation uses transistors instead of mosfets.)
A symmetrical arrangement will drive the negative section. However it needs a bias signal of negative polarity. Therefore you need -3.3V. You would need to add more circuitry, to be able to turn the negative section on and off.