Can I drive my car with a bad AC compressor?

A/C compressor locked up.European cars

Will a bad AC compressor affect the engine?

A bad compressor could affect the engine in your car. If your compressor’s pulley bearing goes bad, your engine can stall due to the stuck compressor or the serpentine belt may break affecting all the accessories moved by the serpentine belt.

Clutchless variable displacement piston compressors and compressor lock up. 

Clutchless variable displacement compressors have extra protection in case the compressor seizes.In the event  a compressor failure occurs the bridges on the clutch assembly will break and only the pulley will keep running, allowing the engine to keep running.