would Opportunity cause a player to lose if he had less then 4 cards in library? mtg

[MonkeyBanana]

would casting a Opportunity on a player who has less then 4 cards in his library cause him to lose the game?

[Aspirations]

104.3c If a player is required to draw more cards than are left in his or her library, he or she draws
the remaining cards, and then loses the game the next time a player would receive priority. (This
is a state-based action. See rule 704.)

Yes. It would.