Yes, perhaps with the help of a custom function hooked on a wordpress hook that introduces some CSS rules to the administrator’s head. Here we focus on product message types pages. admin_head
Here is the code:
add_action('admin_head', 'hiding_and_set_product_settings');
function hiding_and_set_product_settings(){
echo '<style>
.post-type-product #catalog-visibility-select p:nth-of-type(2),
.post-type-product #catalog-visibility-select label[for=_featured],
.post-type-product #catalog-visibility-select input[type=checkbox] { visibility: hidden !important; display none !important;}
</style>';
}
function.php ( ), .
.
:
