Hi
It is unavailable that Cross-Site Publishing without Managed Navigation.
In source sites, you use term sets to tag content. When you tag content with one or more terms, the terms become part of the metadata that is associated with the content. When the search system adds content to the index, it also adds the associated metadata. That metadata is later used in the target site collections when content is shown on pages, and when used for managed navigation.
The following article about overview of cross-site publishing in SharePoint Server 2013 for your reference
https://technet.microsoft.com/en-us/library/jj635883.aspx
Best Regards
Lisa Chen