is it possible for me to be the first to commit and still not get my first choice of territory?
If the game was multiday then yes this is possible. It is about the amount of time you take to make your picks. This clock starts ticking after you`ve looked at the game for the first time, or after you click begin with the thing MightySpeck linked.
EDIT: It might be possible in RT as well, I don`t know if the window pops-up in RT games. If it does, then you can make your picks after 1 minute. The other player can dismiss the message after 3 minutes and commit within 30 seconds and still get his first pick. Don`t know if that would work.
EDIT 2: Also don`t know if it is possible to work around this by not dismissing the window, copying the gamelink and sending it to an alt. Then using that alt to make your picks and take your sweet time to do so in the progress. While still getting your first pick with your main after picking for what the game thinks is like 10 seconds or something.
Edited 4/20/2016 19:33:55