No, not yet. Dying, is well, the process of death. The End of Time begins when the Planet dies. In Home World, though, the Planet dosen't get a chance to die or go into a state of dying, it just ceases to exist. Another World, due to the lack of a certain blue haired Arbiter, is lucky enough to avoid that fate, as Lavos' evolution isn't complete without Serge. The Lavos Timeline, the future will meet it's untimly doom, and in the ideal timeline, as far as we know, the Planet will die a natural death.