Yes, you can move the Supreme Court for transfer of the case from Bihar to West Bengal. However, the chances are generally less since in marriage-related cases, the Supreme Court takes the sides of women.
Secondly, you have mentioned that the cause of action of the offence occurred in West Bengal but the case is registered in Bihar. If no part of the cause of action has occurred in Bihar, then you can also challenge the matter in Bihar for quashing the case on this ground.
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