I'm having the exact same problem. I was running my AC earlier today and I jumped in a few hours later and nothing. My compressor will not engage. It has been getting warmer over time so I decided to start by putting some refrigerant in the system after reading if it was low the compressor wouldn't kick on. Here is the problem, per the instructions on the can of refrigerant the compressor has to be running to put refrigerant it. I tried without it running and it pinned the pressure gauge and nothing would go in.

Is there a way to get this stuff in the system without the compressor running?