Hi, and thanks for your query on eHealth forum!
Puffiness of one eye is usually due to a localized cause like infection, abrasion of cornea, foreign body in eye, maxillary sinusitis of same side, lacrimal gland infection, infection of hair follicle of the eye lid etc.
While it can be ophthalmic migraine, other causes will need to be ruled out. Do get a second opinion about this. Take care!