Sure. Anti-protons would be produced as part of a hadronic fragmentation process, caused by the impact of high-energy protons. Muon pairs can be produced electromagnetically, just like electrons. Muons can also be produced from the decay of pi-mesons, which are produced copiously in hadronic fragmentation.
Wouldn't that be enough to show up in any number of experiments as extraneously produced energy?
But how is that energy manifest? It wouldn't be in the form of photons, because the dark matter particles don't couple to electromagnetism. Our energy measuring devices, which are electromagnetic, would be totally blind to whatever form of energy these things could emit.
For example, right this second, untold trillions of neutrinos are coursing through your body. There's quite a bit of energy there, but essentially none of it gets deposited in your body, because the neutrinos don't interact electromagnetically.
I tried to explain this concept to my girlfriend in the way you did and have met a full-court press in short time. Do you think I need more field-effect?