Yes, this small amount of water will have effect on the determined value for the concentration of the acid.
Even small amount of water causes an error because the drops of water add to the volume of base, diluting it slightly. This means it will take more base solution to neutralize the acid. This makes it seem as if the acidic solution was of stronger concentration than it actually was.
Method of quantitative analysis for determining the concentration of an acid or base by neutralizing it exactly with a standard solution of base or acid having known concentration is known as an acid–base titration
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