Yes, the mechanism sums to the reaction.
You add the equations, cancelling species that occur on opposite sides of the arrows.
<em>Eq1</em>: NH3(aq) + OCl^(-)(aq) → <u>NH2Cl(aq)</u> + <u>OH^(-)(aq)</u>
<em>Eq2</em>: <u>NH2Cl(aq)</u> + NH3(aq) → <u>N2H5^(+)(aq)</u> + Cl^(-)(aq)
<em>Eq3</em>: <u>N2H5^(+)(aq)</u> + <u>OH^(-)(aq)</u> → N2H4(aq) + H2O(l)
<em>OA</em>: 2NH3(aq) + OCl^(-)(aq) → N2H4(aq) + H2O(l) + Cl^(-)(aq)