The word belief is always a problem in these discussions, since we seem to mean different things by the word. Some consider it an alternative to knowledge - "I don't know so, but I believe so." To me, my beliefs are the collection of ideas I consider true, what I would call my knowledge of reality, or my mental map of reality, when those beliefs are considered collectively. Facts are not different from beliefs by this reckoning, but rather, what I call facts are those beliefs that I hold most firmly and consider least likely to be incorrect.
By that reckoning, even the most disciplined and rigorous critical thinker has a head full of beliefs, all of which have been confirmed to be valid empirically, since he rejects insufficiently supported beliefs, and so, my answer to your question is no, unless we include being in a coma, in which case it is possible to live without beliefs or even consciousness.
This is why I shudder whenever I see somebody say that the atheist claims he has no beliefs. No they don't. They claim to have no god belief. All other beliefs are possible, and if the atheist is a critical thinker and rejects other faith-based beliefs as well, all of those other beliefs he doesn't reject will be rational.
The atheist never claims to have no beliefs, just no god belief, and no beliefs derived from atheism. His worldview, which is typically secular humanism, comes from his reasoning and moral faculties, not his atheism. Conscience tells him to follow the Golden Rule, not unbelief in gods. His understanding of how the world works comes from his experience in the world, not unbelief in gods. His commitment to empiricism and skepticism also do not come from his atheism. None of it does. But that doesn't mean that there are no beliefs for the atheist.