I was going through the list of weapon special abilities to decide what to make my Amulet of Mighty Fists do. When I got to throwing, I started laughing at the idea but decided to search here and see what the consensus was.
It does say in the description of the amulet that it has to apply to unarmed attacks, but in the monk's description it says "A monk's unarmed strike is treated as both a manufactured weapon and a natural weapon for the purpose of spells and effects that enhance or improve either manufactured weapons or natural weapons."
I don't really think it should work, but I love the image of a monk flying 10 feet and unleashing a flurry of blows on someone that thought they were out of range.