No, the electric cooling fan on a 1993 Pontiac Grand Am should
not come on immediately when the engine is started. It's temperature-controlled and only activates when the engine coolant temperature reaches a certain point. It might also come on with the A/C running, regardless of engine temperature, to help cool the condenser.
If your fan is coming on immediately, there's likely a problem with the fan's control system (temperature sensor, relay, etc.). This could lead to overheating if the fan runs constantly. You should have it checked by a mechanic.
