Does Fibre Optic Cabling have any potential for noise?
You are right, this is the case but fiber optics can still have problems that can be perceived as noise that lead to incorrect data:

Intersymbol interference: 
This is a kind of noise because the previous symbol that was sent will interfere with the actual symbol that is being sent. Thus the previous symbol will act as noise. Well known techniques to help it are called Orthogonal frequency-division multiplexing (OFDM) and Orthogonal Frequency Division Multiple Access (OFDMA). You can find whole books about intersymbol interference.

Chromatic dispersion [ps/(nm·km)]: 
The refractive index of fibers varies slightly with the frequency of light, and light sources are not perfectly monochromatic. This has the effect that, over long distances and at high modulation speeds, the different frequencies of light can take different times to arrive at the receiver, ultimately making the signal impossible to discern, and requiring extra repeaters or special cables with adjusted indexes for every wavelength (so they arrive at the same time).