Do electronic fiber optic selector switches exist?
Yes, this product exists.

It can be made using MEMS technology, as an electromechanical device (a relay with a fiber attached to the armature), or motorized (and probably other technologies).

Important characteristics are


fiber type compatibility (single-mode or multi-mode, and what core diameter)
insertion loss
return loss
wavelength compatibility
number of inputs and outputs
switching cycle durability
power consumption
switching speed
control interface
...


There are numerous vendors for these products. You can start searching them by looking in trade magazines like Laser Focus World and Photonics Spectra, or from exhibitor lists at trade shows like OFC (Optical Fiber Conference) and Photonics West.