Hi,
That's not possible and won't be before a (long) while because for that the AI API provider would have to know about your site content.
That's not possible right now, unless you spend a lot of time and quite some money to develop a custom way of sending data to them.
There are ways to improve search, and possibly achieve what you want but that cannot be done on a MYSQL server, we need other types of databases/external services and there will be a cost associated with that (maybe $30-50 per month for a smallish site), in addition to developing an extension that can send the content to that service and integrate results with Joomla.
So not there yet but I'm constantly thinking about how what you want to do can be achieved within the constraint of Joomla websites and maybe in the near future I can offer solutions.
Best regards
Yannick Gaultier
weeblr.com / @weeblr