Yes. But I think it is really more of a media/internet creation. I don't think team's boards change that much. I doubt that players "shoot up" a team's board.
That to me would be in indication that they did not do their scouting job correctly over that past year or more. It is more likely that players drop because of off field incidents, medical tests, interviews, attitudes, etc.
I'm just not buying the concept of shooting up draft boards.