Yes, it's possible. However, you can't do it with ffmpeg.
Automatically creating a 3D picture from a 2D source is a hard problem, since there is no actual depth information or any disparate source image to work with. This kind of automatic 2D-to-3D conversion will therefore look quite bad if not done properly—and even then, you might have troubles watching the material for longer periods of time, as unnatural depth cues can cause nausea or headaches.
The Wikipedia article lists a few programs that perform this conversion, and doing a web search should also give you quite a few (commercial) programs to try.