Yes, a woman could go to Valhalla in Norse mythology.
The Vikings did not have gender distinctions regarding who entered Valhalla. Entrance was primarily based on dying bravely in battle. While Valhalla is often portrayed as a hall for male warriors, accounts suggest that women, specifically shieldmaidens and other female figures who demonstrated valor in combat, were also welcome. The determining factor was a glorious death in battle, not gender. Therefore, women who died bravely in battle were believed to be worthy of Valhalla.