Probably not. It is safe to say the Phoenicians are Hebrews, but not of the same line as Abraham. But they are probably not Semites, and certainly not Israelites, despite the fact that they have much the appearance of Israelites. They could easily be mistaken for Scandinavians; generally tall, fair complexions and with blond or red hair. (Red hair or red head is the meaning of the word "Phoenician".)
Their potential link with the Danites is a fascinating one, enhanced by their appearance. I've seen interesting arguments made to suggest the later Phoenicians are a mix of the originals and some Danites, the ones who escaped from Egypt early, along with Israelites from the tribes of Asher and Judah. These are the same Danites who cut such a wide swath up the Danube, Don, Dneiper and other rivers as suggested in earlier posts, and who probably are the name source for the nation DANMARK.
While actual evidence is thin to make ANY case for the Phoenicians, I'm inclined to go along with the latter.
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I would love to be able to connect these folks to the refugees from the Black Sea flood (Noah's Flood?) but, currently the Black Sea flood is dated at about 5,500BC. ...and that is way to early for anything your research has shown, isn't it? (Where did the Black Sea flood refugees go?)
Ryan and Pittman, in their book, Noah's Flood, suggest that they may have fled up the river valleys that empty into the Black Sea. They also suggest that irrigation farming was invented/practiced around the edges of the 'freshwater' Black Sea and that farming was spread all over Europe by these refugees when they fled up these river valleys. (Linguists add some support for this theory, by tracing 'farming' words, all over Europe, back to Anatolia).