Well, if you can get around paying the other part, yes.
But just for your understanding for the normal case with real companies:
But in the general case with a US manager, you would be taxed in the US personally. What you then want is to be taxed in Greece again personally. Because then the DTA takes effect and you only pay no tax in Greece as already paid in the US. If Greece would tax it like an︀ opaque company, you end up paying more.
That is the general case. And now, you︁ will also understand what the problem on the Greek side is. Greek taxes dividends for︂ something that previously has been taxes as a company elsewhere. But if your company has︃ not been taxed anywhere due to the lack of a PE anywhere, you will most︄ likely face a tax audit sooner or later. And then, you will end up paying︅ a whole Greek corporate tax.
The whole thing is quite risky in your case. You︆ can apply for a tax ruling or take the risk. But as I mentioned above,︇ you are better off with a Malta, Cyprus, Bulgaria company with low tax and then︈ 5% in Greece.