No.... If you really think about it it doesn't make any sense. Hal Jordan came back as the Spectre for redemption for what he did. The Spectre is supposed to be what? The wrath of God or something? Now don't you think God would be able to know whether Hal was being controlled by someone else or whether he was doing these things on his own free will. And if He did know, and He gave Hal the Spectres powers and he was being controlled by someone else so it wasn't really his fault why should he be punished and have to redeem himself?
Long, confusing explanation but it makes sense. To me anyways.