Yes.

There are four fundamental forces that govern the universe: gravity, electromagnetism, and strong and weak nuclear forces.

Dark matter interacts with gravity, but not electromagnetism. Electromagnetism is the force that we are acting upon when we touch things, or things bump into or collide with one another. Also, it's what makes light and magnetism.

So dark matter would never hit or bump into anything, but it can, say, orbit something.