Do you have adoption events at the Union Square location?

They have cat adoptions at the back of the store too. I see them each time i go there. Not sure if it is on certain days or not.

Yes. They have a remote cat adoption center inside the store called KittyKind with adoption hours run by volunteers and not by Petco employees. Also for dog adoptions usually adoption events are written on the Calendar near the front entrance (events are held on weekends typically Saturdays 11-4pm Mighty Mutts come in the store.)

They have cat adoptions.

These two answers are correct

Yes they have, but you have to look for the dates they have those events.