No. No, he doesn't. Hershel is a gonner on both platforms, and he didn't escape the clutches of The Governor either, who puts a bullet through his head on the same day as Tyreese is killed. Once The Governor's forces have eliminated the prison's defences and forced Rick and the group to flee, Hershel's son Billy takes a bullet and is killed. Hershel sees Maggie is safe with the group, though the old man gives up on life. He awaits The Governor and begs for death. The Governor obliges.