Not in any supported fashion. And any unsupported hack that might conceivably allow you to do it will inevitably hose your system in some way, since IE is a rather important component of the OS.
Why do you want to do this? If it's for testing purposes, I recommend using a VM.
I don't want to do this, my son does. He's looking at buying a new laptop, with Windows 8, but he wants to go to IE8.