Hi,
Well it depends on the circuit that actually drives this two transistor circuit. If it is driven directly from a microcontroller pin that only can reach up to +5v then yes, but if you have a drive that is as high as +12v then it can do it. Or alternately if you add a common emitter inverter using another transistor and collector resistor then you can drive this circuit with that, and drive the single transistor with the microcontroller pin, as long as you have a power supply source voltage that goes up to the required level to drive the MOSFET in question (such as +12v available).
I'll add it to the schematic in a minute.
The circuit is shown in the attachment. Note that the Vcc source depends on the MOSFET you intend to drive.