I researched this a bit, looking for access control manufacturers whose web sites list integrations with the 4 destination dispatched elevator systems that I am most familiar with:
OTIS - Compass Destination
Schlindler - PORT Technology
Thyssenkrupp - Destination Dispatch
KONE - Destination Control
I found that 3 manufacturers listed all 4 elevator companies:
AMAG
Open Options
Software House (C-CURE 9000)
There were then 3 that listed just 1 elevator manufacturer:
Lenel - Thyssenkrupp
Genetec - OTIS
Maxxess - KONE
These access control manufacturers did not list any elevator integrations:
Kantech
S2
CBORD
Keri Systems
DSX
Paxton
RS2
Avigilon
Note that this does not necessarily mean that none of these companies have software integrations with any elevator destination dispatched systems, just that they did not list them on their web site anywhere that I could find.
Also note that I'm not personally vouching for any of these software integrations, just that the access control manufacturers claim that the integration is available on their website.