@rit,
Hair is constantly growing, so I doubt anything can be permanently 'fixed'. Are you asking about hair plugs for baldness? Because they're all well and good (and they're as permanent as anything gets in that area, I suppose), but your natural hairline will continue to recede as it's unaffected by that.
Are you asking about permanent laser hair removal? Well, it can be more or less permanent, but not so fast, as the method to kill hair follicles (on, say, your underarms) is a slow process. Hair grows at differing speeds. Hence a desire to permanently remove all underarm hair will take months in order to get everything.
If you're talking about dyeing your hair permanently, then forget it. The part of visible hair can be dyed permanently, yes. But you get roots, as your hair is still growing.