Yes I Can!

How To Root Amazon Kindle Fire In One Click

LinkShare Referral Program

Step 1: Go to %USERPROFILE%\.android , once you’re there, edit the adb_usb.ini file and add the following line at the end:
LinkShare Referral Program
0×1949

Save and exit.

Step 2: Navigate to the location where you have installed the Android SDK; open the folder labeled google-usb_driver and hunt down the android_winusb.inf file and under the following lines under the [Google.NETx86] and [Google.NTamd64] sections:

;Kindle Fire
%SingleAdbInterface% = USB_Install, USB\VID_1949&PID_0006
%CompositeAdbInterface% = USB_Install, USB\VID_1949&PID_0006&MI_01

Save and exit the file. That’s it, you’re done with the ADB part.

Enable Root Access

Step 1: Plug in your Kindle Fire to your PC, we’re assuming you’ve already plugged it in since you did go through the above written ADB hassle.

Step 2: Open Device Manager from your PC, and under “Other Devices”; you should see the Kindle Fire, now select the android_winusb.inf file.

Step 3: Enable installation of apps from Unknown Sources. You can do so by tapping the top-most bar on your Kindle Fire and navigate to Choose More and head over to Device, over there you should see a listed device.

Step 4: Head over to this thread over at XDA and download the SuperOneClick tool.

Step 5: Run SuperOneClick and simply click on the Root button on the top-left of the tool, that’s all. You now have a rooted Kindle Fire with complete Superuser access.