No, that is entriely false. The main product of all currently plausible fusion reactors are neutrons. Those are extremely destructive to living tissue, requiring heavy shielding. Even worse, any material which absorbs neutrons becomes radioactive itself, so the shield inevitably becomes radioactive.
The advantage of fusion is that this radioactivity is short lived compared to uranium - decades instead of centuries or millennia. However, this also means that you have to stay much farther away from it, as it's much more radioactive than a piece of uranium which you can typically hold in your hand without any ill effects (just don't hold it under your pillow for a few years).
