You do have a chance. It depends on a lot, though. Are you close in prestige? are you close to home? your style of defense, offense, etc. A really important thing is how deep you are at that position. The deeper you are, the less a player at that position will commit
For example, if you have an OLB who is between you of 70 prestige and another school of 80 prestige. However, you run a 3-4 (which has more LB use) while the other school runs a 4-2-5. Your school is in the same state and your coach has good prestige. You'd have a fighting change with that guy
However, let's say it's the same situation between the schools and schemes but now you are fighting over a DT. DTs have more usage in a 4 down defense than a 3 down defense, so you might not have much of a chance with that guy.