Hi Bonnie Brown,
I know that it works for personal geodatabase (up to 2GB) but not for file geodatabase.
However, you can open file geodatabase in QGIS, then convert it and re-store in PostGIS.
Don't forget to add a path order.
This document should help you further: Database connections in ArcGIS for Desktop—Help | ArcGIS for Desktop
Lénaïc RIÉDINGER, Global Community Engineer Tableau
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