Yes, it is possible to use the same USB stick you used to create the installation media on one computer to install Windows on another computer. Insert the USB stick into the other computer's USB port, restart the computer, and boot from the USB stick to begin the installation process.
Please note that you will need a valid license key for the version of Windows you are installing on the other computer. Also, keep in mind that the installation process will erase all data on the hard drive, so be sure to back up any important files before proceeding.