I don't know if a Japanese victory is possible in WW2 without ASBs. To quote the old classic:
As long as Japan faced the US, they were going to lose the Pacific War. And they were going to face the US, because as long as they continued to expand they would eventually get embargoed and lose because of it. Their only option to avoid this would be to back down and pull out of much of China, something which would A) Be politically impossible, and B) Not really make them Axis Japan anymore.
What's more likely is that Germany gets the atom bomb before America and nukes New York, either because they had better scientists or because the Manhattan Project was delayed or never happened. America could then be forced to sign a Versailles style disarmament treaty and would cease to be a major global power as Germany and Japan built autarkic colonial empires. This isn't particularly likely, but an Axis victory isn't likely in general, and it is AH after all so "unlikely" isn't really that important.