Hide specific category from wp_list_categories

You can use the exclude parameter:

‘exclude’
(array|string) Array or comma/space-separated string of term IDs to exclude. If $hierarchical is true, descendants of $exclude terms
will also be excluded; see $exclude_tree. See
get_terms().

So with your $args:

$args = array(
    'hide_empty' => true,
    'title_li'   => '',
    'show_count' => 0,
    'echo'       => 0,
    // Excludes specific categories by ID.
    'exclude'    => array( 1, 2 ),
);