Dark matter and dark energy have very little to do with each other, besides the fact that we don't know what either of them are made of.
The types of interactions that dark matter is allowed to have are, perhaps unsurprisingly, heavily dependent on which particular model you use to describe it. In general, though, we expect it to do at least one of three things:
Decay into standard-model particles at an extremely slow rate;
Transfer momentum when it collides with a nucleus, where the cross-section for collision is extremely small; or
Be produced from high-energy collisions of standard-model particles at extremely low rates.
There are exceptions to this list (probably the most prominent exception is the axion, which turns into a photon when it's put into a very high magnetic field), but the above three characterize the vast majority of dark matter detection experiments currently underway. These can all be summarized in one statement: we have to assume that dark matter has at least some tiny coupling to ordinary matter.
It's certainly possible that no such coupling exists, and dark matter exists in complete isolation from ordinary matter, but then we would be completely out of luck as to determining its properties (not that its properties would matter much at that point anyway; in that case, the only way it would produce observable effects is in its gravitational effects, which can be understood independent of its composition).