Probably.if I wanted to use an op amp with those two 9 volt batteries only and simply reduce it down to 7-8 volts output with a square wave, and NOT use my vehicles sensor as an input at all, could I do that?
You don't need to reduce the voltage as maximum op amp output of 18Vpp is only 6.4Vrms.
But if you don't connect the circuit to the sensor, then you would need to configure the opamp as an oscillator and, since your engine would not be getting a proper speed signal, it may not operate properly .

