No. Your nearest free wi-fi places are in downtown Bar Harbor. Most of the parks offer a free wi-fi connection. The Jesup Library on Mount Desert Street also has free wi-fi as well as a computer room downstairs with a number of computers for the public to use for free.
The nearby College of the Atlantic also has a large library with free wi-fi, as well as a computer room with several computers the public can use free of charge.
If you go to the Jesup Library on Mount Desert Street and they are closed, there are picnic tables to one side of the library where you can pick up their wi-fi signal, the password is jesuplib, which is posted on the walls in the library.