HELP: door lock cylinder broken and key fob batter dead

[John Galt]

A few years ago, the battery in my key died and I never fixed it (I've seen the posts on how to replace the battery, I just haven't done it yet).

Today, I go to unlock my car, and the lock cylinder in the door turns freely, so I can't get in my car.

QUESTION: Can the dealer make a new key and program it to the car without being able to get into the car?

If so, then I could just go buy a new key, have them program it and then use the remote to open the doors.