Please note that HK Pickup Options only supports multi-language on stores that are using Langify or Weglot to set up mult-language.
The language shown on the delivery options page depends on which language the user is currently viewing on the site. For example, if your store supports both English and Traditional Chinese, a user that browses your Traditional Chinese site will be able to see the Traditional Chinese version of the Delivery Options popup as well.
The delivery options page changes dynamically with the language that the user is viewing.
Multi-language store support is available as a custom plan feature.