From what everyone on the rai is saying, I don't think so. I can not imagine however, how the FIGC can not schedule 2-3 exhibition games before the start of the Euro's. I've never seen where there haven't been pre-tournament friendlies. I'm sure Prandelli & the federation will round up some national teams sooner or later.
Supposedly we'll be playing San Marino before the euro's... I'd personally prefer to play someone like Belgium, B-H or Switzerland.
Maybe we'll be playing three friendlies, a"training" game against San Marino and two next meaningful matches, one of which is scheduled on June 1st against Russia