No. The standard forms for General Business Liability were changed in the late 1990's to *remove* any coverage for intellectual property damages.
This means that trademark infringement (where another company starts using your brand's likeness) is not covered.
This means that patent infringement (where another company copies your patented product) is not covered.
This means that copyright infringement (where someone copies your images, your website, your blog, your content) is not covered.
It also means that inbound lawsuits (when someone accuses *you* of infringing) is not covered.
The only way to get coverage for IP-related risks is through IP-specific insurance policies.