Nope, the ZG refers to Zerstörergeschwader which means "destroyer wing". The 109 in the photo, if we believe the caption, is from the II Gruppe which was named Jagdguppe 101 and was equipped with the 109E early in the war.
To close the loop, a nightfighter wing would be a NJG or "Nachtjagdgeschwader", nacht meaning night. We'll leave long-range reconnaissance units for the next lesson.