Could happen. With a very low accident rate to begin with it wouldn't take many to make a big statistical dent.
Concord went from having the best safety record in airline history to having the worst in about ten minutes.
I have noticed that out of the pilots I know many of the most severely entitled members of the entitlement-generation have gravitated towards bizav because the airlines are too constraining. The ones who can stand to toe the line don't mind sticking with 121.