Yes it can, via the reaction: ##T+T=α+2n+11.3 MeV##
I'd appreciate if someone had more info on this. I was unable to quickly find a reliable reference, just a Quora post about it.
It's a less common side-reaction if you have a plasma of deuterium and tritium. You get two neutrons to make two new tritium nuclei, so it isn't a big loss.