No, a man cannot marry his wife's sister in Islam while his marriage with the first wife is still valid.
Islamically, marrying a wife's sister is prohibited while the marital bond with the first wife remains intact. This prohibition is clearly outlined in Islamic jurisprudence (Sharia).
Here's a breakdown:
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Prohibition during Marriage: A man is not permitted to marry his wife's sister simultaneously. The marital relationship with the first wife must be terminated (through divorce or her death) before he can consider marrying her sister.
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Permissibility after Termination of Marriage: If the marriage with the first wife ends, either through divorce (Talaq) or her death, then the prohibition on marrying her sister is lifted. The man is then allowed to marry his former wife's sister, provided all other requirements for marriage in Islam are met.
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Rationale: Islamic scholars cite various reasons for this prohibition, including the potential for jealousy, family discord, and disruption of the existing marital harmony.
In summary, marrying a wife's sister is forbidden in Islam during the existing marriage. The prohibition is lifted after the marriage is terminated.
