'Easiest' fusion, Deuterium-Tritium, produces neutrons:
2H + 3H -> 4He + 1n
Another version, Deuterium-Hydrogen, produces some neutrons:
2H + 2H -> either 3H + 1H or 3He + 1n
(Tritium decays to He-3 by beta decay, so may 'poison' the plasma of positive ions you pumped in there. Consult your local Fusion Physicist to find out if I'm on or way off the mark with this supposition. They are likely fast electrons, so may just escape to the side-walls of your reactor.)
You probably need to use Helium-3 (and not produced as above, hence the Iron Skies conflict for 'minable' lunar He-3 reserves) to get 'neutronless' fusion, undrer ideal conditions:
2H + 3He -> 1H + 4He
Or go for something where fusing a Hydrogen with a heavier atom provokes overwhelmingly alpha (He-4) breakdown of the (now even) heavier element, with just a smudge of neutron release from secondary decay paths.
There's going to be a neutron flux of some kind, pretty much, though some don't depend upon them for their energy-harvesting, while for others it's the main (and magnetically-untrappable) baryonic product that the reactor walls will directly encounter, as well as all the rest of the radiation. We've yet to work out which methods of fusion can be best tapped for energy, and in what manner, so it's rather up in the air wheher we can make it as contained as a Mr Fusion or would have to take it for granted that it's going to pepper its shielding with free neutrons and call that more acceptable (given the scale advantages over the various modes of fission-wastes) and worth the differnt hassle.