You can check if the compressor clutch works without starting the engine.
On the electrical connector on the compressor clutch, the black wire is voltage to the clutch and the brown/red wire is the ground. Disconnect the electrical connector from the clutch. Run a jumper wire from the clutch terminal where the black wire connected, to the positive post on the battery. Take another jumper wire and connect it to where brown/red wire connected, and take the other end of that wire and ground it to the engine. If the clutch is good, you’ll see and hear the clutch being pulled in and out each time you ground and unground the clutch.
If the clutch works, then you want to check the clutch fuse in the under hood fuse box. It’s fuse #20/10amp. If the fuse is good, then the problem might with the clutch relay which located in the same fuse box. If the relay is good, then the problem might be with the low pressure switch mounted in the low pressure line.
If all this checks out to be good, then the problem might be with the HVAC control module. And that’s the thing mounted in the dash with all the controls.
Tester