Welcome
@FNKOmega
Collectors sometimes wait years to find a birth year watch.
(IIRC there are birth year watch sites)
To find a specific date watch could be a lifetimes’s quest.
You would need to research the many Omega watches produced or sold in 65, advertised for sale now with papers or EOA, and see if they have your specific date criteria.
As I said, a lifetime’s work unless you strike very, very, lucky.
I suppose what you’re really saying is “does anyone have, or know of, a watch documented from June 21, 1965”
Closest I have is 5 May ‘65 (but it’s not for sale)
Best of luck with your hunt, I don’t envy you your task.