I think that depends on your definition of "accuracy." Is it always factually accurate? No; dramatic license is certainly used. But by the same token, I rather suspect that it's created a very accurate depiction of what kind of person Mark Zuckerberg is, even if it hasn't accurately depicted all of his actions.
Danger, danger, Will Robinson.
I guess you don't know Zuckerberg personally? Then, for God's sake, do not EVER think that a movie about him could be an accurate depiction.
I never met Idi Amin, but I'm fairly confident that
The Last King of Scotland is an accurate depiction of what kind of person he is. I've never met Bill Clinton, but I think
Primary Colors accurately depicts what kind of person he is. I've never met Tony Blair or Queen Elizabeth, but I think
The Queen is an accurate depiction of the two of them. I've never met Steve Jobs or Bill Gates, but I think
Pirates of Silicone Valley is probably an accurate depiction of their characters.
We've never met a lot of public figures. That doesn't mean that we can't draw inferences about what kinds of people they are.