The Catholic Church teaches that it is wrong for us to intentionally reproduce by any means other than marital intercourse (though things can be done to make marital intercourse more fertile than it otherwise would be). In particular, human in vitro fertilization is wrong.
But there is clearly nothing wrong with our engaging in in vitro fertilization of plants. And I have never heard a Catholic moralist object to the in vitro fertilization of farm animals.
Suppose we met intelligent aliens. Would it be permissible for us to reproduce them in vitro? I think the question hinges on whether what is wrong with in vitro fertilization has to do with the fact that the creature that is reproduced is one of us or has to do with the fact that it is a person. I suspect it has to do with the fact that it is a person, and hence our reproducing non-human persons in vitro would be wrong, too. Otherwise, we would have the absurd situation where we might permissibly reproduce an alien in vitro, and they would permissibly reproduce a human in vitro, and then we would swap babies.
But if what is problematic is our reproducing persons in vitro, then we need to look for a relevant moral principle. I think it may have something to do with the sacredness of persons. When something is sacred, we are not surprised that there are restrictions. Sacred acts are often restricted by agent, location and time. They are something whose significance goes beyond humanity, and hence we do not have the authority to engage in them willy-nilly. It may be that the production of persons is sacred in this way, and hence we need the authority to produce persons. Our nature testifies to us that we have this authority in the context of marital intercourse. We have no data telling us that we are authorized to produce persons in any other way, and without such data we should not do it.
This would have a serious repercussion for artificial intelligence research. If we think there is a significant chance that strong AI might be possible, we should stay away from research that might well produce a software person.