Yes, customers of Thompson Cigar Company can track their orders online. Once an order is placed, a confirmation email is typically sent containing details of the purchase and tracking information. Customers may need to visit the Thompson Cigar website and log into their account to access the order tracking feature. In the order history section, the tracking number should be available alongside the corresponding shipment details. This allows customers to monitor the status of their order as it moves through the shipping process. It is always a good idea to check the current web page for the most accurate and updated information regarding order tracking.