You can do a search using multiple tags, as long as there is a query.
https://community.nodebb.org/api/search?term=colors&in=titlesposts&matchWords=all&categories[]=all&hasTags[]=nodebb&hasTags[]=plugin&sortBy=relevance&sortDirection=&showAs=topics
I don't think that will work for your case though, but it might get you halfway.
