Is having the webbing between my nose and eyes removed considered a nose job?

Thank your for your question.  Amanda Bynes had webbing along her medial eyelid called an epicanthal fold.  Surgery to changes this is a subtype of blephroplasty.  It is not rhinoplasty and would not be changed with nose surgery.  Both issues can certainly be addressed in the same surgery.  It doesn't matter as much what you want to call it as making sure you and your surgeon are on the same page and have a cohesive mutual plan.  If you are asking about this because of price, you can probably expect to pay a separate fee above what the surgeon would normally charge for rhinoplasty.  All the best!

 Removing the epicanthal fold and a rhinoplasty are 2 completely separate procedures. Removal of the epicanthal fold is usually performed at the time of eyelid surgery. The bump on the nose is composed of  both bone and cartilage and must be shaved down in order to remove it. Osteotomies of the nasal bones will be required to close the open roof created from the bump removal.

An epicanthoplasty would not be considered part of a rhinoplasty. While it can be done at the same time as the rhinoplasty it is a separate procedure.