"Possible"? In a word, yes. But the question begs... detail.

a) The thing you are "willing" to die for may not be what you *do* die for.

b) You gotta live and die anyway... and... well, you gotta live and die anyway!

b.2) And, tragically, if you don't have something to "live for" then... isn't that why suicide happens? I mean, you're willing to die for the lack of anything to live for...

c) The thing you live for usually *is* the thing you "die" for-- in a spiritual sense. To paint it in black and white, if you live for something "good" you're gonna die to self in order to help that cause. If you live for something "bad" then when your number is up not only will you be physically dead, you'll be spiritually dead!

And why are you asking random philosophical questions when you know I like to ramble and can never give a straight answer, anyway? ;)