Oh, absolutely. We cannot possibly be alone in the universe. That said, the distances are so vast, our ability to contact one another is impossible by our current understanding of physics. As Fermi pointed out, if they had been able to colonize, we would have detected that by now, and heck we'd have already been colonized. How our civilization didn't mature under the yoke of an alien species is interesting and perhaps speaks to what a backwater world we may be on, in a crummy part of a spiral arm of the milky way.
Even if we assume that we're unique in our galaxy, there are so many other galaxies out there that the possibility of life and intelligent life seems a mathematical certainty. But the distance between us and the next space-faring civilization means we cannot ever shake hands. Physics says that it takes an infinite amount of energy to push a spacecraft faster then light. So that's not the way to do it. Natural wormholes are fleeting and unstable, so unless there's a network of artificial wormholes as Sagan theorized in "Contact", the problem we, and every other species in the universe face, is that we just can't get to meet each other.