In basketball that is definitely going to happen because the schools have realized that a top-flight hoops program is the best marketing they can buy, but that only requires five starters.
In football, it could happen, but would be very difficult to pull off due to roster size. I think BYU or one of the former SWAC schools in Texas could pull it off. You would need one gigantic donor or a really deeply funded collective that has massive fan buy-in. BYU already has a bit of an advantage because they have a huge pool of guys who are in their 20's as freshmen and that physical development is a big boost. They associate a lot of religious pride with the school and if they plan their collective properly and deploy at the right time I wouldn't be surprised to see them come out of nowhere for a year or two and make a legit run at a title. Imagine a typical "good" BYU team that goes out and buys an elite rush end, cover corner, quarterback and wide receiver. They'd be a tough out in the playoffs.
The Mormons are really good at planning and playing the long game and I suspect they'll take a much more pointed approach to this than many other schools. If you tell a Nebraska fan "hey, look, we have a really good freshman class, we like where it's going, in two years we're gonna deploy $20 million signing guys in the portal" you'll have a man with an immense fivehead looking back at you jaw agape. Planning for the future is impossible for them. You tell that to the BYU fans and they'll ask if they need to donate more to make sure the war chest is ready. I think smart teams are going to realize that they have to strategically plan "runs" like pro sports teams do.