I think it is possible, what interests them is that they use their engine and test their intelligence: We help them to feed their db and train their intelligence.
And I finally found one, just now: perplexity.ai
And that’s good, because I already used their app on my iphone! It is effective, and their datas are "live", not in a fixed 'old' date. For example if we ask it what is the next marvel movie, we really have the next movies. When I tried on bard and chatgpt(3), they proudly announced the next films ... which were on dates in the past.
I'm gonna use this one for now and see how it's going on.