Yes, during the Roman Empire, women did have the right to own property, although the extent of this right depended on various factors such as social class and legal status. Roman women could inherit property, manage their own finances, and own land, though there were limitations on their rights compared to men.
Most women in ancient Rome were under the legal authority of a male guardian (paterfamilias), which could be their father, husband, or another male relative. This guardianship could restrict their legal capacity in certain transactions, but women from wealthier classes often had more independence in managing their property.
In practice, many women were able to exercise significant control over their wealth and property, especially through legal arrangements like the manus marriage, where a woman might have belonged to her husband's household, and sine manu, where she retained her own legal identity and property rights.
Overall, while women in the Roman Empire were subject to a patriarchal system, they did possess some rights related to property ownership and management.