Hello,
Please read this article – https://woocommerce.com/document/related-products-up-sells-and-cross-sells/ You can remove cross-sell from the settings of products or hide the section using custom CSS or PHP code. Here is an example of CSS:
.woocommerce-cart .cross-sell-products, .woocommerce-cart .cross-sell-products-title { display: none; }
Regards
