We got a quote from Cora about Story, but just hearsay about Mayer. I couldn't find anything more than "Red Sox would be fine with Mayer at 3b," "prefer him at 3b over 3b" and "are expecting to have Mayer replace Bregman at 3b" are "looking for options at 2b."
This doesn't necessarily rule out them moving him over.
Why can't they move the guy who Cora once called the best 2b in the AL over to that position? It would be "a tough move" to shift Story off of SS as his bad defense down the stretch was due to "a long season."