Very close but that sentence is not quite correct.
To make it correct you would say...'the boy drew ON his sneakers with a black marker'
or...'the boy used a black marker to draw on his sneakers'
However, this sentence makes it sound like the boy only did a small drawing on his sneakers...if he wanted to change their colour completely it would be better to say...'the boy drew ALL OVER his sneakers with a black marker'
I hope that helps! :)