Force? No. But making a (presumably) excellent choice affordable? Sure, why not.
I opted to take advantage of that sort of arrangement, even though my parents DIScouraged me (they suggested it's good to leave home). But I couldn't justify anyone spending at the time $21,000/year when I could go for much, much less than that. As in zero tuition (though I had to pay for housing, which was $$$ enough).
I think some schools offer not just tuition at their own university, but some portion of tuition at any university?