Yes, but only if the positive sentence took Accusative (which happens very often, but not all the time).
Here both the positive and negated sentence take Instrumental.
If you refer to the hint, under "tamtym", - it is both locative and instrumental, and unfortunately hint shows only locative.
but "tamtym mężczyzną" is instrumental
My grammar book gives instrumental singular endings as -em or -iem. Where does the a squiggle fit in?