An electric potential is generated when a liquid moves with respect to a solid (streaming potential). Is the reverse true?
Your assumption is correct. Electrokinetic pumps use a potential difference across an osmotic membrane, i.e. through narrow channels, the inverse of flow causing a streaming potential difference. There are other aspects of the phenomena such as electrophoresis, capillary osmosis etc.; see:

Electrokinetic Phenomena a

On the Efficiency of Electrokinetic Pumping...

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