Yes, WooCommerce store can succeed without a mobile app, but it may struggle to maximize customer engagement and repeat sales. As more shoppers prefer purchasing through mobile devices, WooCommerce mobile app provides a faster and more convenient shopping experience than a mobile website alone. Without WooCommerce mobile app, store owners may miss valuable opportunities to re-engage customers through push notifications, improve retention, and encourage repeat purchases. A dedicated app can help businesses stay competitive and deliver a seamless shopping experience.