Maybe, if the competing paper has their facts straight. From :

According to the Boston Herald, Henry told the New York Times “ which is trying to sell its 17-percent stake in the Sox “ that if he bought the Times piece of the Red Sox, he would also take the Globe “off their hands.”

There was no official offer made, the paper reported.

In an email to the Herald, Henry said:

“Baseball fans rely heavily on newspapers. No one wants to see a newspaper with a great, long-term history go away. Losing the Globe, the Herald or any New England paper is a big loss for the Red Sox.”

The Times has demanded a total of $20 million in savings from the Globe’s 13 unions within a month, or it has threatened to shutter the newspaper