Hi and Welcome. My Name is ***** ***** I look forward to assisting you today with your question.
Unfortunately No. The Fire Stick has a HDMI not USB. It is designed to be used with TV. Even if your laptop has HDMI port, it won't work as the laptop has HDMI Output (not input).
Why would you want to even connect the Firestick to your laptop ? You can easily access all Amazon contents right from your laptop from www.amazon.com
If you have any questions or would like any additional information, please don't hesitate to ask.