Does this feature exist in Emacs orgmode core?

Yes

Orgmode link

https://orgmode.org/manual/Weekly_002fdaily-agenda.html

Feature value

By using diary-style expression entries such as:

%%(diary-remind '(diary-anniversary 06 02 1969) 14) %d. wedding anniversary

one can easily add anniversaries and holidays into the agenda.
Right now it seems to be unsupported.

Additional context

No response