The vast majority of players in the NCAA tournament have effectively zero chance of ever playing, much less starting and making millions, in the NBA. Consider the automatic bids that go to conference winners, the benchwarmers and walk-ons at even the top tier schools, etc. Remember, only 60 people are drafted into the NBA every year (not counting the rare players that enter through the D-league).

Edit: So, "yes" is my response to your question

But if you wanted enough people to throw a game, you'd need the future NBA stars on board too.