Yes, but you'll have to modify a couple of files:
Edit admin/categories.php
find this section of code at about line 625
PHP Code:
array('id' => '6', 'text'=> TEXT_SORT_PRODUCTS_PRICE_DESC)
);
change it to this
PHP Code:
array('id' => '6', 'text'=> TEXT_SORT_PRODUCTS_PRICE_DESC),
array('id' => '7', 'text'=> 'Products Status')
);
Now edit admin/includes/modules/category_product_listing.php
Find this line of code at about line 92
and add this line immediately after it:
Now find this section of code at about line 211
PHP Code:
case (6);
$order_by = " order by p.products_price_sorter DESC, pd.products_name";
break;
and add this immediately after it:
PHP Code:
case (7);
$order_by = " order by p.products_status, pd.products_name";
break;
(the pd.products_name shown in the code above can be replaced with p.products_model if you want the secondary sort to be by model number)