One of the methods that was discovered for finding the distance to a star is based on parallax. The Earth's orbit is 2AU in diameter and that amount of movement is enough to see relative movement of closer stars to the more distant stars that appear 'fixed'. Astronomical distance are often quoted in Parsecs.
I could imaging that parallax due to our solar orbit could also account for occultation of a distant bright star by large dark star once or twice a year. Someone is bound to have looked for this amongst the vast amount of data that we now have. Spotting such variations comes under the heading of 'Transient Astronomy' and there is a lot of juice in that particular lemon - it just needs to be found amongst existing data.