Neutrinos interact with barionic batter through weak nuclear force. Dark matter can't be normal neutrinos because they move at close to light speed and we know that dark matter is cold, slow moving. The best dark matter candidate are WIMPs which only interact with gravity and weak force. Heavier, unknown neutrinos are possibility but would mess up Standard Model.
There are detectors that are trying to find weak force interactions. They haven't found anything yet which is constraining paramters of dark matter particles.