"To draw" originally meant "to drag, pull", and it's pretty easy to make sense of the many meanings of the verb with that in mind.
Draw a sword, draw a card, draw water from a well, draw breath, a drawer, withdraw, ...
Even for the most farfetched ones, I can see the figurative stretch. But not for the main meaning of the verb.
What does "to produce artwork" have to do with pulling or dragging?
btw I'm not sure if I cann technically call it a semantic shift if the original meaning is still in use.