Not entierly. D-He3 is neutron-free, but you will unavoidably get some D-D fusion in there too, and D-D fusion releases neutrons. You need pure He3-He3 fusion to have no neutrons released.

I have also heard proposals for fusing boron and regular hydrogen. Like He3-He3 fusion, H-B fusion releases no neutrons. Unlike He3, hydrogen and boron are easily available. But H-B fusion is harder to achieve than He3-He3 fusion, and much harder to achieve than D-D or D-T fusion.