How much do you know about rhinoplasty? Before you worry about financing it, I would start learning more about the procedure. It is a very complicated surgery that very few plastic surgeons can perform well.
But to answer your question, I believe that plastic surgery loans are just like any unsecured source of money. They really don't care what you're using it for, only that you can make the payments and are willing to pay the interest (which is usually high). So whichever procedure(s) you get (whether that be a rhinoplasty or something else) won't affect the amount you can borrow.
I'm sure it's possible to get plastic surgery financing for the full amount, but because rhinoplasty is so expensive, you will most likely need great credit to get approved for the full amount.