Maybe. But my reasoning is to assume as little as possible and start reasoning up from the point in history where the need for an explanation arose.
And the need for an explanation arose when Hubble saw the redshift. He and Zwicky preferred tired light over galactic recession, but the halfwit academic establishment went with galactic recession.
Incidentally, I just drew some diagrams and with the assumptions that the Earth is not at the centre of expansion, Earth orbit has extremes (for parallax), and all light only takes straight routes, my second question has a negative answer.
But if one puts a gravitational lens on the view of one of the two stars then (based on a fast doodle though) it looks like maybe expansion could be detected.
And the need for an explanation arose when Hubble saw the redshift. He and Zwicky preferred tired light over galactic recession, but the halfwit academic establishment went with galactic recession.