Probably not within our galaxy, but only because us and them becoming civilised at the same time would be quite a coincidence.

On a log plot, the difference between the number of stars in the Solar System and the number of stars in the Milky Way is smaller than the difference between the number of stars in the Milky Way and the number of stars that we can reach before the expansion of the universe removes them from our grasp. How much probability mass would you place on alien civilizations within reachable space? Within our galaxy?