When used as a noun, yes.
:
Noun
complex (plural complexes or (archaic) complices)
1. A collection of buildings with a common purpose, such as a university or military base.
2. A psychologically based issue or dislike of a particular thing.
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So
The God Complex could refer to both a person obsessed with power and being worshipped, or some kind of facility that assists/fights/acts as/controls/supports/detains/enslaves God.