Here:
http://p201.ezboard.com/fczechpistols82 ... =115.topic is an excellent FAQ about +p+ ammo.
The short answer is: If Kahr thought it was a good idea, they would say so in the manual.
You probably could shoot a few rounds through it but by so doing you a) risk damage to a very small gun that is not designed to take the kind of pressures you may be subjecting it to; b) You risk injury to yourself and anyone else around you; and last but by no means least, c) you have certainly invalidated your warranty.
If it were me, I'd take or send it back and exchange it for the correct ammo for the weapon.