It also depends what you mean by hierarchies. If you think of representation of sensory information, we can argue that there are are hierarchies. Early sensory areas respond to simple features and higher areas respond to complex features and are even multi-modal.
But if you think of hierarchies in terms of scales like micro to meso and macro (e.g. from molecules to membranes to networks to systems and so on…) then I would say NO.
In our modern computer there is a clear hierarchy but such clear hierarchies are not there in the brain. Properties of synapses and neurons can shape the network but network activity can also shape the synapse and neuron properties and so on… Perhaps a better word is Heterarchy (not that it solves the problem).