This could be caused by a number of things, including:
* Faulty Passlock Sensor Ring: This is a common culprit. The Passlock system uses a sensor ring in the ignition to verify the correct key. A damaged or dirty ring can throw this code.
* Wiring Issues: Damaged or corroded wiring within the system can disrupt communication and trigger the code.
* Faulty Body Control Module (BCM): The BCM controls various electrical components, including the theft deterrent system. A problem with the BCM itself can cause this code.
* Faulty Ignition Switch: The ignition switch plays a role in the Passlock system's operation.
* Low Battery Voltage: A weak battery can sometimes cause intermittent problems with the Passlock system.
To properly diagnose the issue, you'll likely need a qualified mechanic to:
* Scan for further codes: A P1621 might be accompanied by other codes offering more clues.
* Inspect wiring: Check the wiring related to the Passlock system for damage or corrosion.
* Test the Passlock sensor ring: This requires specialized tools.
* Test the BCM and other components: Further diagnostics may be needed to identify the faulty component.
Attempting to fix this yourself without proper diagnostic tools and knowledge could lead to further complications. It's generally best to leave this to a professional mechanic familiar with the Pontiac Grand Am's theft deterrent system.