I’m not sure I understand what you’re asking for here, but given the stats are in a database table and freely accessible, I’d say yes. It’s just a question of figuring out what to query from the database.
I would want it to show how “popular” a (fuzzy) search query is in the last week/month (when no results available).
But you need a custom query if I interpret your answer correctly.
Yes, a custom query is needed. All the search logs are in wp_relevanssi_log database table. The table structure is simple: you can find the search query in the query column and the query time in time.
To see how many times a search query is made within last two weeks, you can use this:
SELECT COUNT(*) FROM wp_relevanssi_log WHERE query = 'search query' AND time > DATE_SUB(curdate(), INTERVAL 2 WEEK)
OK, great! Is it possible to make this “fuzzy”?
Instead of query = 'search query' you can do a LIKE query, for example. There are lots of options there.