My answer to the title is just a brief 'no'. If reductive materialism is the case, then brain-states follow from physical states. If the two universes follow the exact same laws as each other, then the same brain state in both universes is... the same. Conscious experiences might not just happen in just a single moment in time, they might be spread over time, so you might have to adjust that from 'same brain state' to 'same extended set of brain states over some relevant duration'.
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