We have to make some assumptions here for this to be a logical project...1. The '92 Honda Civic must have come with factory air.2. The engine swap to the B18B allows enough room in the engine compartment for an A/C compressor and it's associated plumbing.As far as your wording and knowledge of cars, you don't install A/C into any engine, you are merely adding an accessory to it, i.e. adding an A/C compressor for the engine to drive. There are many controls associated with the A/C you would have to configure for the swapped engine as well. All these would be outlined in the Helms manual but you might require two manuals since the swap sources two different vehicles. See
www.helmsinc.com.Sources of compressors weren't too wide for Honda/Acura so I would think the plumbing connections for the Civic would match that of the Acura if both had the same manufacturer for the compressor. The length of the hoses could be another problem but I assume custom hoses could be made to fit.I have also found that clearances do not allow much room to remove/replace the A/C compressor and that room could have vanished completely with the engine swap making it impossible to install the compressor without removing the engine.You might want to consider keeping the 2/80 air conditioning your car has rignt now instead of going through a costly custom A/C install. I do that right now here in Texas... open both windows and go 80 miles per hour!