Almost. But not quite like that.
You have the floor = It is your turn to speak.
Sometimes you have a chairman, chairwoman, or similar whodecides who "has the floor" at any one time.
You could say it is their job to decide "who has the floor".
You can definitely say thjat it is their role to "say when a classmate can speak".
I mean to ask whther I can tell a student that their role is "to give the floor" in their team.