As the old commercial says, "Sorry Charlie". You can't get there from here. You need delta-P.
It may help to take a gander at the units in their base form. Energy has units of force * length. Power has units of force * length / time. Flow has units of length^3 / time.
In order to get power based on flow, the units need to come out right. What are the missing units? Well, divide power by flow and you have (force * length / time) / (length^3 / time) = force / length^2. Recognize that? What if I said lbf / in^2 (psi)?
To calculate flow power you require flow rate and pressure rise. No two ways around it.
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