Yes, but the transponder in the new key must never have been paired to that immobilizer ID.
http://wiki.ross-tech.com/wiki/index.php/Immobilizer_III_Key_Matching_%28Cluster%29Key Matching
Prerequisites:
All keys are either new or were adapted to this car (IMMO-ID) before.
You can match up to 8 keys.
While adapting each key, make sure to place the other keys away from the ignition lock (reader coil). The passenger seat is an adequate place.
Battery voltage at least 12.5 V.