Improbable, but not that improbable.
The Red Sox play four in Kansas City. The Yankees play 3 in Anaheim. There couldn’t be much more difference in the strength these opponents. If the Red Sox seep KC, and the Yankees lose 2 to the Angels, that moves the Red Sox to 2 and a half games behind the Yankees. Then a sweep of the Yankees in New York next weekend would put the Red Sox on top.
That last part, of course, is the rather improbably part. Still, even coming a little short of that, the Red Sox could end the week withing striking distance of the division title, with one week to go in the season.