It is possible to partially convert infrared light or ultraviolet light into the visible regime by exploiting nonlinear optical phenomena. Second harmonic generation (SHG) is one such phenomenon that doubles the lasing frequency using a crystal (e.g. it can convert 1064nm IR light to 532 nm green light).
Most green laser pointers actually have an infrared diode laser that is converted to green light using simple harmonic generation.
This is easy to do, in the sense that a relatively cheap laser pointer can accomplish this. However, in the case of the laser pointer, the laser diode is in a fixed position relative to the nonlinear crystal such that careful alignment can be maintained easily.
In your example, however, you require a light source on one side of the room and a crystal (attached to someone's eyeglasses) at the other end of the room. Maintaining the necessary alignment would be extremely difficult.