I assume you mean NaNH2 (sodium amide). Considering that it reacts explosively with water to give ammonia, then your proposed reaction would not occur. But it sure would be exothermic!
Generally though, 2 bromo butane in the presence of a powerful base like :NH2, could both substitute or eliminate depending on temperature, even if solvent is held constant. Considering that :NH2 is SUCH a strong base, I would expect elimination to be prevalent unless things are done very cold. I can't remember ever seeing a literature example of nucleophilic substitution using sodium amide.
Secondary alkyl halides are always the bane of this (common) question. The answer is that they can do both SN1/2 and E1/2. It truly depends on the specifics of the sterics, leaving group, solvent, and temperature to push it in one direction. You seldom attain perfect fidelity.