You might be able to request a larger pot but there would be no guarantees, you may want to take one if need or break up the pasta so you can use a smaller pot.
I have requested spaghetti pots, needed two each time at VB and BWV and never had a problem getting them. At BWV I was given the same cookware that is in the unit and a Farberware pot that must have been left by a previous guest. I wouldn't bother bringing one.