It's pretty much a statistical certainty that life exists elsewhere in the galaxy.
But we're never going to meet each other.
People really underestimate how BIG space is. You may think it's a long way down the road to the chemist, but that's just peanuts to space. Even if the closest star system to us had life on it, and they flew here at the maximum possible speed allowed by the laws of physics, it would take four years to get here. That's a very long time for a ship to be running at maximum speed, especially consider the insane amount of energy that would be required to power the trip.
And that's assuming the closest star has life. It's far more likely that the nearest alien race is hundred or even thousands of light-years away. The alien crew would have to be put into some kind of biological stasis for the trip, and by the time they got here, eons would have passed on their home planet, making it essentially a one-way trip. They would never see their families again. Nobody on their home planet would probably even remember them. Who would be willing to make that sacrifice just to visit a comparatively primitive race like us? Hell, the human race might even be extinct when they arrived.
Everything we've learned about physics has told us that traveling faster than light is literally impossible. So unless aliens discover some technology that can break the laws of reality itself, they can't get here. Or even know we exist. It's kind of like if the entire earth was uninhabited except for one person in China and one in America. How likely is it for those two people to find the other exists, let alone travel to them?
I do believe there's alien life somewhere in the galaxy. But they've never been to Earth. And it's very unlikely they ever will.