To answer your question, it is possible to re-attach the medial crural footplates to the septum. However, anatomically this is unlikely to alter the width of your nose on smiling. There are a number of reasons why the nose widens on smiling, Two muscles pull the tip down and subsequently can flare the nostrils. These are the nasalis and depressor septi muscles. The nostrils insert into the cheeks and based on your smile, the cheeks may always pull on the nostrils.Lastly, if the tip of your nose stuck out very far and what is called projection was reduced, the nostrils can flare which can then exaggerate changes with smiling.
I suggest you seek a qualified revision rhinoplasty specialist to discuss your nose and figure out the best way to address it, which may as simple as an alarplasty.