Cross-sell products will be displayed on the Shopping cart page. If you want to disable cross sell items from the shopping cart page, You need to disable setting from the Configuration.
Out of the Box, Cross-sell products will be displayed on cart page though you can disable if you want, from the admin panel.
Login with Admin Panel,
Click on Left sidebar Stores.
Click on Configuration -> Sales -> Checkout -> Shopping Cart -> Show Cross-sell Items in the Shopping Cart
Set No from Dropdown area.
Click on the Save Config button from the Right Top.
Run Command to see changes on the cart page,
Just Add the Item, Check cart page, Cross-sell section will be removed from the page.