Bill;
That should work fine if the contacts can handle the current you will be running through it. Make sure it is a pressure switch that has both contacts ungrounded and the contacts should open as the pressure goes below a few PSI-- not the other way. Yes, you'd need to use a NO (normally open) pushbutton switch in parallel with the oil pressure switch to start the engine and then hold it in until the oil pressure reached the actuation PSI of the oil pressure switch.
You could replace the pushbutton switch with a relay whose coil is placed in parallel with your starter solenoid. Then the bypassing the oil pressure switch to start the engine would be automatic.
Regards, Neil Tucson, Az