If you're talking about combining DNA to produce viable offspring - not a chance.
I've already gone over this in a similar question, so I'll just copy that part to here.
The problem with this is that even if there is a mechanism for
combining DNA arbitrarily, you can't plug bits of DNA into another
species with a different evolutionary path and expect to come up with
something meaningful. Even supposing they happen to look like humans,
they will be completely different on a chemical level. They will
probably not be able to produce proteins from our DNA, and if they
can, said proteins will most likely be either useless or toxic.
The reason why mating makes sense biologically is because you're
combining your DNA with that of another organism whose genes are close
enough to your own that the child will be able to benefit from those
good (or at least viable) genes. Here, the child will not benefit from
the fact that the other species has good (or at least viable) genes,
so what's the point? You could say it's just randomly mutating to
prevent the child from being a clone, but in that case you might as
well just randomly mix up DNA and hope something comes of it, saving
the tedious difficulty of mating.
Some bacteria do swap genes randomly with bacteria of other "species",
but this only makes sense because #1 bacteria are much more
structurally simple than multicellular organisms and therefore
producing a new protein has a much lower chance of simply killing them
and a fairly decent chance of providing some benefit, and #2 bacteria
reproduce so fast that they can afford to take these risks.
All this is without even getting into the issues of the species being
alien. They might not even have DNA.
Now of course since these organisms are both alien and artificial you
could say that they have a completely different chemistry. Maybe they
even have "smart" DNA that is somehow able to analyze the DNA of its
partner and pick out bits that might be useful. But this is getting
into realms of bio-engineering so far beyond feasible speculation that
it might as well be magic. Not that there's anything wrong with that.
Forget about making an interspecies impregnator. Instead, try and figure out how to make an interspecies parasite - a creature that injects its own offspring into the host, which develops and (somehow) acquires traits of its host. Basically, you want a Xenomorph.
Of course, the Xenomorph is also completely implausible. Endoparasites are, by nature, incredibly specific to their hosts. They need to feed off of exactly what the host is providing and fight off all of the host's defense mechanisms, which will be different for every species. And that's just on Earth, where most organisms share similar biochemistry, since they all come from a common ancestor. On other planets, even this is unlikely. Aliens probably wouldn't even be able to eat us and gain nutrients from it, let alone impregnate us.
But since the species is engineered, we can bend the rules a little. Let's say this is a species that can take any complex molecule, break it down, and construct its body atom-by-atom. (This means it should be able to "eat" anything with the right elements in it.) It will probably need energy to accomplish this, so let's say the parasitic embryo is injected with a high-energy "yolk" that it actually feeds on, using the host's body for mass alone. It also must be incredibly hardy to avoid being broken down by the host's immune system.
Now comes the even harder part - assimilating the host's traits. Analysis of DNA or biochemistry won't work, since the host is completely alien on a chemical level. Instead, the parasite must analyze its host on a physical level. Perhaps it produces a swarm of tiny blood parasites that swim through the body, collecting information, and then bring it back to the main body. The main body must also possess a knowledgable brain - perhaps the parent passes on actual pieces of its brain, unlike Earth animals that grow from a single cell. (This also means that the child will have some of its father's "knowledge" when it is born.)
The parasite must then take that information and use it to construct its body consciously, creating something similar to the host. It then must figure out how best to exit the host without causing harm (unless it doesn't care about this).
No, this is not plausible at all. But it might be able to help you produce something that sounds almost possible.