No.
Win32 is a platform (aka operating system) and not a virus! The question of “Is the Gen virus Win32 malware?” is thus nonsensical, because it doesn’t make sense to refer to different systems as if they’re viruses. It should either be clarified to specify that they are using the Windows operating system or clarify that they mean malware for the 32-bit Microsoft Windows NT family of operating systems and then answer the question with an “Yes.”