The term "Fascist Party" is not unique to one country, but is a
descriptor of an ideological party that can be found in multiple
countries.
If we are talking about the Italian Fascist Party, then, yes,
they did. While the Italians did not actively contribute to the
financial cost and development of the Holocaust, Italy and Italian
possessions ghettoized their Jews and later sent them to the Death
Camps and imprisoned Communists.