Hello,
All the options available for the products order you can find in Customizer > WooCommerce > Product catalog. By default, WooCommerce does not have option to order by category.
Yes, go to XStore > Plugin installer > install Infinite scroll and Ajax pagination plugin. Then set it up according to theme documentation depending on the option you want to use Infinite scroll or Ajax pagination https://xstore.helpscoutdocs.com/article/65-woocommerce-infinite-scroll-and-ajax-pagination-settings
Regards