I am trying to include the Standard component to show today's events on partner community home page [Partner Central Template]. Is it possible to get that?
From what I can see in my DE, it does not look like to be available for Community Home Page. Also refer to this excerpt from the documentation for standard components, which says that not all components may be available for all page types.
The Components panel lists only components that are compatible with the selected page.
You have options of either creating a custom component and adding it to your community home page or you can take a look at this appexchange product, which looks like can solve your use case.