Yes, and Italy seems to be doing much better.
As Italy's mitigation policies reduce infections to a trickle, the next phase will be exiting from social and economic lockdown. Even in a very compliant society like South Korea, a month after new cases dropped off, they are still battling clusters that produce 50-100 new cases every day. In Italy, the virus has much deeper penetration, so while the mass death may be over, the virus will continue to do its best to return. The world will be watching Italy for answers, then Spain, France, etc.