bending spacetime

What if a large mass could move without bending 4D spacetime to produce its gravity? In that case, the large mass wouldn’t have a gravitational pull. And objects wouldn’t gravitate toward the mass, rotate around it, or sense its existence at all.
Now, what if gravity could be produced without the movement of mass…
We’d like to think a thing called dark matter does that, because 23% of our universe is bending, and it’s not because of regular matter moving.
So, what if regular matter’s movement didn’t bend spacetime at all to produce gravity? What if dark matter was attracted to regular matter, and in colliding with it, produced a bend in spacetime?