But the information would still be forever locked away in its own galactic island. Even transmitting at the speed of light, the information could never reach any other galaxy. So no, in this far future, a galaxy would only be able to know itself.
We have records of other galaxies right now. Assuming we manage to preserve those and humanity over these kinds of time scales, our descendants would be able to access those records and learn that other galaxies once existed that are beyond their cosmic horizon now.