The Immobilizer in VW Jetta

Can faulty igition coils cause the immobilizer in a 2001 VW Jetta to malfunction?

My wife’s car quit on her on Christmas eve (it would start, but then die after a second). When I took it to the VW dealer, they said the computer in the instrument cluster is going out. But in the meantime, we had received a recall letter the previous week from VW stating that the ignition coils in the car may malfunction. Could this be related the imobilizer problem?

Your prompt response will be very appreciated.