Upvote:1
According to the Schengen rules, a visa application must be filed with a representation of the member country that is a main destination for the proposed trip. Since Germany is not the main destination for your trip, they would be required to reject your application.
The only way to get your application processed by Germany would be to lie about your intentions. And if this lie is later uncovered (e.g. if you show up at the Italian border with no documentable plans to go to Germany), your visa can be annulled. You will then be refused entry, and it can become difficult to obtain another visa since your credibility has been harmed.