Your challenge should you accept it is, that with a PoD of 400 BC, Yayoi period Japan is in contact with hellenic civilization and have it's culture being influenced by the Greeks.
Well, considering that it's arguable that some of the cultures of South Asia are influenced by Hellenistic culture (heck, even
Sanskrit has Greek loanwords) which then eventually spread out via Hinduism and Buddhism into South-East Asia and East Asia, it's possible. Just remember that what eventually happens in that point in time, Greek influence (whether it be Hellenistic or not) will just be one of many influences entering Japan, including influence from China, Korea, the Austronesian countries, and others.