No, the extension can only pull data once into a certificate draft. When using GVL Connect, the extension essentially captures a snapshot of the information displayed on your PMS screen at that moment, then transfers relevant data to the GVL certificate.
In this case, only the animal information would be transferred, and any missing owner details would need to be entered manually. For the best results, use the GVL Connect extension on a PMS page with the most complete information displayed.