Yes. Under Indian law, a woman may have the right to continue living in the shared household even after separation, depending on the circumstances. The Protection of Women from Domestic Violence Act, 2005 provides a woman in a domestic relationship with the right to reside in the shared household, regardless of whether she owns the property. A court can also pass a residence order to protect her from being unlawfully evicted.
However, this right is subject to the facts of each case and any orders passed by the court. If there is a dispute over residence, it is advisable to seek legal advice and approach the appropriate court for protection.