Sure you can R&R the clutch without effecting the refrigerant system.
All you do is take a 10mm socket and loosen the center bolt while holding the clutch pulley with a big channel lock plyer or however you figure out how to hold it from turning while you loosen the bolt.
Then carefully work the clutch off the splined shaft of the compressor, (don't pry too much, it needs to be pulled straight off) be careful not to loose the little 1/4" shim washer that will be under that bolt behind the pulley, the shim is a spacer to provide clearence between the clutch disc and main drive pulley, without the spacer the clutch can't disengage.
Once you have the clutch hub off the next step is to remove the snap ring that holds the main drive pulley, you'll need a snap ring plyer, now behind the main drive pulley is the 12v coil thats held on by a philips screw i think can't quite remember but it's easy to get off anyhow.
This 12v coil solenoid may be your problem for sure, check all the connections closely especially where the coil wires are soldered comming out of the coil itself. Well that should get you started.