No. This won't fix anything. It is flying in the face of social norms and basic, narcissistic inclination. What is verboten will become desirable, and circumvention will be lauded by peers.
We live in a digital world. That isn't going away and will only become more pervasive.
Teach responsible usage. Make it like BYOB in enterprise. Require device enrollment. Block access to unproductive sites within a campus environment. Channel the compulsion to check/update/respond into something positive.
This is basic human psychology. We can't afford to be so blindly granular and willfully devoid of historical context and the obvious implications.