Not if you buy into the mainstream interpretations of quantum mechanics right? Initial conditions alone are not sufficient to predict what will happen.
That doesn't mean its impossible, just very unlikely. Again, you cannot predict what will happen from initial (or current) conditions alone. :) It goes both ways.
Unless the universe exists as a single structure with only one "bang" and "crunch", see the points about initial conditions.
Nabeshin: Unlikely, but not impossible, and until there is a satisfactory explanation for the cosmological constant or dark energy, it is merely unlikely, not definitive.