In my honest response, it is not it possible to build a complex civilization without social hierarchy.
A society is one that is govern with laws and order. the use of social hierarchy is known to be a kind of a check and balance in the society.
The society is not in a free world where you can do what you like and so it is not possible to create civilization without social hierarchy.
Note that by giving people room to make decisions for themselves can hinder the possibility for a classless society but it does not really exist in all parts of the world. Hierarchical and territorial dominance is seen as some vital aspect of nature that increases evolution.
Therefore, In my honest response, it is not it possible to build a complex civilization without social hierarchy.
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