Ok, I see. Technically, the free Wishlist app which is recommended for this theme, Basic Wishlist stores wishlist data in a customer metafield, so it should be possible to get this data and construct product list kinda like this:
{% assign wl_data = customer.metafields.loo-lists.loo-wishlist.value %}
{% for wl_item in wl_data %}
{% assign wl_product = all_products[wl_item.last.handle] %}
{% render "product-grid-item", product: wl_product %}
{% endfor %}
(of course, i have no idea which snippet is used to render a product card and what parameters it expects, need to see the theme code)