Interestingly, I was actually with extra time today, and wandered back over here.

I just looked back on that squadron list for Ranger in late 1962-early 1963, and it has been altered!

Apparently, someone mixed things up earlier, as I cannot find anything to match it in Ranger’s deployment list now.

The corrected entry reads:
VF-91 (F-8C)
VF-93 (A-4C)
VA-94 (A-4C)
VA-95 (A-1H/J)
VA-96 (F-4B)
VAH-6 (A-3B)
VAW-11 (E-1B)
VFP-63 Det.M (RF-8A)
HU-1 (UH-25C)
So yes, that does match with Hermes’ visit to the Philippines after Christmas of 1962!

However…
As for that photo – in the PDF linked below which describes the post-Christmas 1962/Jan. 1963 operations, note the comment “practice roller-landings“… known in the USN as a “touch & go”, the aircraft does not lower its arresting hook, and never actually stops on the flight deck – it just touches down, then lifts right back off.

So the photo of a Phantom and Hermes shows not a full landing, but a T&G – a nice photo op, but Hermes’ arresting gear & catapults were never used with Ranger’s Phantoms.

http://www.axfordsabode.org.uk/pdf-docs/hermes14.pdf