Im out of propane can I run the air conditioning

Only if your A/C runs on propane. What does the manual that came with your furnace and A/C say?
Nobody can answer questions without the details.

There are very few manufacturers of propane AC units. There are a lot of Propane package units which use Propane for heat but Electricity for AC. I'd be very surprised if you have a household sized Propane ac UNIT. There are propane refrigerators if you have no electricity.