Would it be possible to build a device that allows you to walk backwards?

I did some backwards walking as part of a physical therapy session. I was surprised at how easy and natural it seemed, of course given that I was walking close to a wall and had the therapist walking beside me.

It just seemed that it would be a fun thing to walk backwards with a device on my head that had a pair of lenses in the back to catch the light and somehow got the light to reflect off a mirror in front of my eyes.