It is possible to conclude different administrative chores in a single appointment. However you need to let the Bürgeramt know before hand. In order to do that, you'd need first to go to a Bürgeramt service page (pick from this list). On the Bürgeramt overview page, you need to tick all the services relevant to you and then book an appointement at this specific Berlin Bürgeramt (button is all the way down of the page "An diesem Standort einen Termin buchen".)