My guess - and it is only a guess - is that the answer is Yes (especially considering the 2nd source of information below):
Complication (horology)
From Wikipedia, the free encyclopedia
In horology (study of clocks), complication refers to any feature in a timepiece beyond the simple display of hours, minutes, and seconds.
A timepiece indicating only hours, minutes, and seconds is otherwise known as a simple movement. Common additions such as day/date displays, chronographs, and automatic winding mechanisms are usually not sufficient to permit a movement to be called complicated. Moreover, that a watch movement may be a Certified Chronometer does not itself count as a complication.
from ehow:
Technical Terms
In the world of watch making, known as horology, the bezel falls under a category known as "complications." In this context, the complication does not mean the ease in which a watch is utilized, but instead refers to any watch feature that extends beyond the simple function of telling time. The term complication is most often used by high-end or luxury watch brands in referring to the features of their products. Since the watch bezel can have functional and/or decorative purposes, it is considered a complication.