We have pretty good control over the electromagnetic spectrum and it can be done with quite crude materials. It would be wonderful to find the gravitational equivalent of wrapping wire around a nail, or alternating current across wires of certain lengths.
Well, part of the problem is that we do have alot of ideas about weird and wonderful things that can be done with gravity, but gravity is very weak. Manipulating it in ways that are any fun generally requires a lot more mass and energy than all of humanity has available to it at the moment.
Also, none of the ways we know of that we could manipulate gravity if we had the resources really comes close to classical sci-fi "antigravity". Even if such manipulation actually is possible, it would probably require too much mass to be useful in the ways it is typically shown in sci-fi.
Now we don't seem to have any gravitational magnetite that acts differently from any other matter, so that clue isn't there.
No, we don't. We have some theories about types of matter that might exist and have non-typical interactions with gravity, and what kinds of things we could build with such matter, but no evidence that such matter actually exists.
But there are some weird anomalies we account for by using dark matter halos.
Dark matter isn't really that special. All it is is stuff that interacts with gravity normally so that we can see its gravitational effects on other matter, but isn't very bright, so that we can't see it itself. Some of it probably consists of matter of types we know about (dim stars and brown dwarves, etc, on the one hand, neutrinos on the other), but certain properties of these types of matter limit how much of the total amount of dark matter they can make up. The majority of it is probably made up of certain types of unknown particles that interact only via gravity. They still, however, interact with gravity in an entirely normal way.