Could drinking red bull or rockstar energy drinks have a negative side effect which could be kidney stones in men?

Probably not: There are many active ingredients in engery drinks, but taurine, glucuronolactone, and caffeine are the main ones. None of these in a usual energy drink are going to be harmful if taken in moderation (not more than 2 per day). However, taurine can accumulate, although it is not an Amino Acid and therefore does not technical result in stone formation!