my understanding of what you are asking is if there can be light with negative energy. The knowledge we have is that, in the current state of our universe that is not possible. Photons can be either absorbed from a null ray coming from a past cone, or emitted to a null ray going into the future cone. But "black" light would require a photon that will be absorbed from the future cone; this we have not ever observed (or at least, we believe we haven't observed them).
This all goes to the subject of causation; when we make a source to emit light, we believe the light will be there, propagating in the forward cone, both when we measure it and when we don't; like the trees, they will fall regardless if there is someone on the forest. We make the source to emit light by closing a circuit, which flows a current, which heats something.
To an extent, is the 2nd law of thermodynamics that "gets in the way" of us making a target to absorb light, since it would allow us to absorb thermal radiation of objects by throwing "black light" into them. But there are dynamical reasons as well; if we had a source of "negative light" (which is equivalent to a target of positive light), it would be perceived as electromagnetic waves of negative energy, because upon their capture by atoms in the future, they will decrease their energy in order to compensate the energy that was absorbed in the target - Maxwell equations predict a definite positive energy density for electromagnetic waves, so, such solutions are disallowed.