The answer is "yes, but," according to the information Judith Evans Grubbs presents in Women and the Law in the Roman Empire: A Sourcebook on Marriage, Divorce and Widowhood.
As a child, a woman was subject to the power or potestas of her father, the paterfamilias. Upon marriage, she might be handed over formally to the hand or manum of her husband (if she weren't married in manu, she remained under her own father's potestas), at which time all property she had or would acquire became the property of the paterfamilias of the family into which she had married. This would be either her husband or his father. However, if her husband died, in the legal arrangements preceding Augustus, the Roman matron came into her own power: She was said to be sui iuris.
- Being sui iuris meant the Roman matron could own property.
If the husband instigated a divorce proceeding, the dowry of his wife would be returned to her paterfamilias if he were alive, or to her, if he weren't, but the husband might keep part of the dowry if there were children or the divorce was the result of his wife's wrongdoing.
Judith Evans Grubbs says that from an early period in Rome, women not married in manu had the right to divorce. Sometimes the wife's father might instigate the return of the dowry -- divorce -- on his daughter's behalf. In these cases, also, the husband might lay claim to part of the dowry.

