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It depends on whether physics on the smallest scales is genuinely probabilistic as opposed to deterministic or if it only appears that way because of a lack of information. Nobody knows the answer to that yet. If it's deterministic then yes, sort of, though it's more complicated than you describe. You would almost certainly need a simulation - not an equation - which would necessarily progress at the same speed and on the same scale as the universe itself. (Basically you'd just be making a copy of the universe at it is.) And that's not to mention issues related to locality which would make awkward even modeling the universe on large scales. 
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