No, it is not possible. When a woman is married or in a civil relationship, the clinic needs her consent and her husband's approval to proceed with the fertility treatment of choice, either AI or IVF. In case of divorce, consent would be required as well.
It is possible, however, if the couple is divorced or separated and the woman wants to get pregnant through IUI with donor sperm, as the man would not be considered to be the legal father of the child, that is, he would have no legal right or responsibility to the baby.
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