Yep, not unlikely. The trouble is when you spend 4 first round draft choices on one unit, under the cap you can't afford to pay ALL of them to stay on a second contract for megabucks.
Good GMs around the league recognize this and spread the wealth with draft picks so that they don't end up with 4 stellar cornerbacks and safeties and no offensive linemen of any caliber to protect the quarterback.
This is one reason I really don't like free agency in football. From a fan perspective the game has been watered down because you can't build a real super team using your own resources and front office acumen.
As a team game with 22 starting players, the coordination and cohesion we saw in the Gibbs teams and Walsh teams of the 1980's and Dallas teams in the early 1990's isn't really possible any longer.
So, you make some great draft picks and hit on some super players and then end up having to lose one or two of them to a mess of a team like the Cardinals or Texans who can't draft their own stars.
Free agency in baseball or basketball is a different animal. Roster transitions in those sports operationally are such that a spring training or preseason can be enough to integrate a new star pitcher or big bat in MLB or a top star in the NBA.