Yes
Italians have light skin and share many similarities to what is called Caucasian
if it walks like a duck, quacks like a duck, has same DNA as a duck, it's probably a duck
It was not until the United States practiced eugenics did the term "white" get a new definition based on arbitrary specifications made by 56%ers. During the days of Jim Crow, even Hispanics were considered white and Asians held status as honorary whites. No doubt as a result of people realizing the futility of calling themselves white when they were incredibly mixed blood already. Even for European immigrants, Europe is a region of much cultural mixing across the past hundreds of years.
Not that Italians not being considered white is a loss, anyway. The white community has the highest rates of autism, their women fuck animals more than own men, and the men bend the knee to blacks and gays.