We've spotted such particles. Like this one for example: https://en.wikipedia.org/wiki/Oh-My-God_particle https://en.wikipedia.org/wiki/Oh-My-God_particle But

We've spotted such particles. Like this one for example: https://en.wikipedia.org/wiki/Oh-My-God_particle https://en.wikipedia.org/wiki/Oh-My-God_particle But how would we harness them? They travel almost to the speed of light and we have no indication where they will pop. And even if we knew the general direction, we're talking about something infinitesimal small. You'd need to have some really big obstacle that could be mobile. LHC's magnets are like five storey buildings.