Most oil pressure switched are normally-OPEN.....(they "ground" with low oil pressure).........so you would probably have to use a relay to provide IGN power when the switch is open (oil pressure normal)........
You could easily wire the ignition though the starter circuit so that you would have ignition while cranking............ Then the engine would start normally and oil pressure would be likely be adequate to keep it running after releasing the key.
The better way though, is to put a loud buzzer like the
Radio Shack 108db model that will activate when your oil pressure switch closes (most of them close at less than 10 psi by the way....) .......believe me you'll hear this one!
What should be obvious though, is that if your oil pressure alarm activates at HIGH speed...........you either have an electrical (short) fault in the alarm circuit or you REALLY have less than 10psi oil pressure!! If it's the former, no problem......fix the wiring.......If it's the latter, you might already have engine damage!
Regards,
Rick