Hello,

Please try to add the code below in the functions.php file in your child theme

add_filter( 'woocommerce_my_account_get_addresses', 'filter_wc_my_account_get_addresses', 10, 2 ); 
function filter_wc_my_account_get_addresses( $adresses, $customer_id ) { 
    if( isset($adresses['shipping']) ) {
        unset($adresses['shipping']);
    }
    return $adresses; 
}

Best Regards.