Short answer

No. The Bible's own prophets say that each person answers for his own sin. The Law of Moses says that fathers shall not die for children, nor children for fathers. Ezekiel wrote that the son shall not bear the father's sin. Jesus said every man will be rewarded according to his works. When Moses offered himself to make atonement for his people, God (﷾) said He would blot out the one who had sinned. No court calls it justice to punish an innocent man instead of the guilty. Islam's answer is the same: no bearer of burdens can bear the burden of another (Qur'an 6:164 and 53:38). Adam and his wife asked forgiveness for their own sin, and God (﷾) forgave them.

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