What were the Coyotes thinking when they drafted Mitchell Miller? | The Hockey News on Sports Illustrated
A head scout for one team said once they dug into Miller’s story, they immediately scratched him off their draft list.
“We would not have taken him after the background checks our USA guys did on him,” he said. “We always say when we draft somebody, we want somebody at our table who’s really excited about drafting the guy and nobody from our U.S. staff wanted anything to do with this guy, so we just took him off our list. He’s a decent player, but all the background and history on him said red flag.”
So unless a major publication is completely fabricating the above quote...yes, there are sometimes players that one or more NHL teams will refuse to draft under any circumstances.