No. Bulk Discount Now uses Shopify's Draft Orders feature to give shoppers their discounts. Shoppers go through the checkout of a draft order, and Shopify does not yet support conversion tracking for draft orders.
A partial workaround is to trigger an event in Google Analytics when shoppers click a checkout button leading to their draft order checkout. With this method, you would be able to get statistics on the number of shoppers that enter draft order checkout, but you would not be able to see statistics on the number of shoppers that completed draft order checkout.