Maybe, but start by troubleshooting the cheap/easy stuff. if you need to replace a relay, that's a tenner.
If the compressor clutch is seized, you're talking about quite a few hundred to replace the compressor and the clutch (if the car is old or high mileage, there's no point replacing one and not the other).
You can find loads of YouTube vids that show you what to look for, like these: