No, but pretty much every reconciliation between the two involves nondeterminism. It's fair to say that if they ever are reconciled, (and the few points where they do overlap within current theory) are going to be nondetermininistic.
That's a bold claim.
AFAIK the only experiment that suggests QM is non local, and non deterministic is the Bell's inequalities thought experiment. Note the word thought. And to be honest that is hardly a basis to assert that there are no hidden variables scientifically. The fact is our understanding of the quantum world could be flawed, so to say that it is accepted or proven or even has strong evidence is very difficult to do as there is a lot of head scratching, particularly when you have a measurement issue.
That said I tend to agree with the idea of no hidden variables and non locality, looking at the quantum weirdness issue. The problem is relativity doesn't like non locality, it maintains information cannot travel faster than light, so there's a seeming disagreement between the theories, which is explained by the idea that QM does not behave classically amongst other things.
Einstein's theories rely on locality and hidden variables. Thus the EPR paradox. Mind you I think the universe is probably ultimately undeterministic, but most people aren't sticking there necks out and claiming it is definitely, or scientifically proven. It's a bit of a moot point.
Many Worlds Interpretation is deterministic. Although it has no need of hidden variables as such.
It's a real issue of philosophy in physics, it is accepted that the most popular theory upholds non locality and non-determinism and to be frank I tend to agree, but there's a lot of discussion on the issues, it's not as clear cut as some would claim.
I think free will exists.