Short answer: nobody knows.
This is part of the problem of determinism - and there is currently no solution.
The usual consensus is along the lines that the Universe will not play out exactly the same way twice from the same initial conditions ... this is because of some very sensitive statistical/quantum mechanics effects at the fundamental particle level. But it will be broadly similar.
However, this is an opinion based on an assumption that the underlying physics of the Universe is statistical in nature.
That may not be true: there may be an underlying structure that makes everything deterministic again.