Too lazy to read through all the posts here, but I'll say: It depends on what you mean by choice.
The Buddha did teach that we have the ability to find freedom from suffering, but that freedom is found in the realization of impermanence and notself, not something that is intrinsic to our existence.Quite the contrary, many of us have limited will
. Our bodies may be fully capable of getting up and doing this or that, but our minds are hindered by this or that fetter, and so is incapable. The Buddha said that many people are "as if already dead."
As I see it, then, this question is improperly framed, in terms of self: You ask do "we" have choice, but there is no person to attribute or not attribute freedom to, nor did the Buddha outright support or oppose the idea of agenthood. But rather, your question should instead be, "Is there a practice leading to freedom?"
And the answer is: Yes. The Noble Eightfold path.
People should not bother themselves with these kinds of views, because in both cases they are a burden: For the determinist, he falsely thinks he cannot be free
. And for the indeterminist, he falsely thinks he is already free
. These kinds of delusions stand in the way of true freedom.
The best things in life aren't things.