No not to the competition. When they were trying to pick the final 12 they brought back a group of 10 who had not been voted on for the finals. Amazingly enough Clay Aiken was in this group because Kimberly was voted for over him. Once the final 10-12 are chosen though that is it. No one is brought back unless a contestant quits or is removed. Then they do like they did with Nikko and bring back the one that has the 2nd most votes.
Clay had the misfortune of being in the same group as Ruben and Kimberly Locke. The Top 3 for the whole show was in one small group.