Almost certainly so; the only piece of irredentist territory left is Tirol, but I suspect only the die-hard Italian nationalists care. Most would probably wave it off considering the German majority there, especially when the Italians have Trentino, Trieste, and Albania, turning the Adriatic into an Italian lake. They also have Nice, Savoy, and Corsica, and occupy more French territory up to the Rhone. With Malta and Tunisia, the Straits of Sicily are fully under Italian control. They also have an expanded East African Empire, between Eritrea and all of Somalia. Libya has also made modest gains.
Yes, Italy certainly has taken her own place in the Sun.