That is the basis of the Panspermia Theory, meaning that life can hitch a ride on asteroids and is abundant in the universe. And I'm a firm proponent of the Forced Panspermia, where instead of sterilising spacecraft and probes we go out of our way to spread bacteria and lifeforms that might survive on planets and moons of our solar system. For example, we sent a probe to Saturn and we made sure to crash it in a way that didn't interfere with any possible life on the planet. I think it was a wasted opportunity to pollinate it, we won't be sending anything back there for decades. Imagine if in 300 years we'd pollinated a few planets and moons and things had started to grow naturally.