Before you ask why...because its awesome...also i dont care if i have to Frankenstein it i want to know how its possible
Simple answer - no. You can't load any software on 3ds to even connect to your PC.
Long answer - google LVDS, HDMI, etc.
You need a new 3ds for any kind of streaming at all, plain 3ds doesn't have the hardware, and of course it needs to be hacked/jailbroken to run unofficial software.
You can stream the 3ds to the PC but even that low resolution is at low quality and framerate, it should be possible for someone to code an app, or change this one, to reverse the stream but you would have to use a very low resolution on your pc and make do with low frame rates and bad quality.