So evidence pointing towards a common ancestor for all life here on Earth, or at least very similar common ancestors, might imply that of a seeding event, there

So evidence pointing towards a common ancestor for all life here on Earth, or at least very similar common ancestors, might imply that of a seeding event, there wasn't much variety. However, if we assume a seeding event happened, what's to say it couldn't happen on a lot of planets around the same area at the same time? The Fermi paradox is too speculative to say we aren't the only ones. One thing that's missing is a seeding mechanism. Can an asteroid eject enough debris for some of it to reach escape velocity on a planet like ours? Did these protozoa come from a very different (but chemically compatible) environment?