Answer
No, both solution would take the same volume of NaOH to neutralize.
Work Step by Step
Since NaOH is a stronger base, the strength of the acid that it is neutralizing does not affect the equilibrium of the reaction. The reaction will completely occur just by the strength of the NaOH.
It would take the same amount of sodium hydroxide to neutralize a weak acid and a strong acid solution with the same concentration and volume.
