No. It is a fictional kingdom made up by Plato in his dialogues "Critias" and "Timaeus" as a literary foil to the city of Athens. It is a parable, of sorts--a fable. In the late 1800s, a Minnesota congressman named Donnelly took the fable and embellished it for his crackpot theory of anti-diluvian civilizations and diffusionism and other such garbage. I won't even link it here.

In addition, Plato tells us that the Atlantis of his story was involved in a war with Atlantis 9,000 years before his own time. This date is complete nonsense and completely impossible. Those who set out upon the modern ocean to find Atlantis based on Plato have no concept of the timelines of the ancient world, or how mythology was passed down, much less "factual" information. Plato did not even know about the Mycenaean civilization which had existed on the same ground under his feet a mere 800 years earlier, much less some magical lost city on the edge of the known world in a epoch supposedly much much earlier than that. If we take the number at face value, we are in the middle of the 10th millennium BCE, firmly in the transition between the Paleolithic and Neolithic. Even if we cut Plato's number in half, and make it 4500 years, we are back in the 5th millennium BCE, in the late Neolithic. Some have suggested that perhaps Plato had Mycenae itself in mind, or Thera (Santorini), and that he's just got the timescale wrong. That would certainly be an understandable error, but the evidence just isn't there.