Just looked it up since I was sure I had read they had their own. On their wikipedia article it says:
In its early days on the Internet, the Qwant search engine relied on Bing to provide more relevant results. In 2016, Qwant claimed to be increasingly using its own results from its own exploration robots. It is still at the status of hybrid engine.[89] In 2020, Qwant claimed to have exceeded 50% of independent results for web searches, and 70% for all researchs
so I guess it's both bing and their own thing.
Short: No
Long: Theoretically yes, but they'd need to completely change leadership and also give up any notion of going public and instead transition to a non-profit. I dont think they can be working for the community while chasing profits. They have been trying to exploit users for profit rather than work with them.
That reddit could see me return, but at that point it'd be a very different situation and a very different reddit. I don't think we'll ever see it happen.