Even Cold Fusion is producing lot of neutrons if we are talking about DD, DT. It can occur at the room temperature without any problem and such devices already exist for a longer time.
Most probably you can even buy them. Do you want a hint?
https://en.wikipedia.org/wiki/Neutron_generator
You can find detailed video how Neutristor works - now you can find it also on the MFMP facebook page. You will find that it is VERY similar to some reactors we are playing with.
Few months ago I have proposed that such reaction must work. And it works.