Hi purevelvet
Do you mean the link on the slideshow on Homepage of your site?
You can try to use this custom css rule:
.owl-carousel .owl-item .product_cart_block a.j2store-button-cart {
display: none;
}
P/s: I tried to access admin panel of your site but it requires another htaccess login. If above css code doesn't work, kindly share the login info also so I will check directly for you.