Here's what you *can* do depending on your situation:
* If the compressor is seized: You'll need to remove the seized compressor. Simply removing the belt will not solve the issue if the compressor is locked up. A seized compressor puts strain on the belt and can damage other components. Replacing the compressor is the proper solution.
* If the compressor clutch is bad: You might be able to temporarily disable the clutch by disconnecting the wiring to the compressor clutch relay. This will prevent the compressor from engaging, but the compressor will still be turning with the belt. This is only a temporary solution and will still leave you without AC. Do not run the engine for long periods with the clutch disengaged, as this can overheat the compressor.
* If you want to remove the AC system completely: This is a more involved process, requiring the removal of the compressor, condenser, evaporator, lines, and other components. You'll also need to reroute the serpentine belt to bypass the compressor pulley. This is a permanent solution, but it involves significant mechanical work. Remember that without proper rerouting, you'll also lose power steering.
In short: Simply removing the belt is not a safe or effective long-term solution. Diagnosing the root cause of the AC problem (seized compressor, bad clutch, low refrigerant, etc.) is essential before deciding how to proceed. Attempting to bypass the compressor without addressing the underlying issue could lead to further engine damage. If you're not comfortable performing these repairs yourself, it's best to consult a qualified mechanic.