I'm not talking synonymns, that was merely an amusing afterthought. I'm talking direct definitions. you know, those things I linked to several times.
Since you apparently can't follow the links on your own, I'll spell it out for you:
1) draw: to bring, take, or pull out, as from a receptacle or source
boiled down to its essence, this simply says "to take." If you feel a source is a mandatory part of that definition despite the "as from" part, then it means "to take from a source."
2) source: any thing or place from which something comes, arises, or is obtained; origin
Again, boiled down this simply says "anywhere something comes from."
3) draw therefore means "to take from anywhere something comes from."
4) hand: (noun) the terminal, prehensile part of the upper limb in humans and other primates, consisting of the wrist, metacarpal area, fingers, and thumb.
A hand, being a noun, is most definitely a contender for status of "any thing or place"
Unless you're contending that the sword is not coming from the hand but from some other location, it is most definitely being taken from the hand, and therefore drawn from the hand.
Again, it's your turn to show where two can equal one.