Tl;dr: Can fusion be achieved only by speeding up particles to high enough speeds to smash into each other?
I know that it is necessary for protons, or any oppositely-charged particles for that matter, to have very, very high amounts of energy to be able to get close enough to fuse or "touch". Usually, this involves raising the temperature of a reactor to millions of Kelvin and then accelerating those particles into each other. However, at such a small scale, are temperature and kinetic energy not the same thing? After all, temperature is just average kinetic energy. So, in theory, would it be possible to fuse two protons or particles if they were accelerated fast enough at each other, without raising the temperature very high? Or is there something I am missing here? I've looked all over the internet and can't find anything explaining why exactly this is possible or not possible, other than articles about cold fusion and how it was faked.