If you mean copper plus zinc nitrate, it appears to be a single replacement (displacement). However, according to the reactivity series of metals, this reaction will not occur. In order for a metal to replace (displace) a metal in a compound, it must be more reactive than the metal in the compound. We can determine this by looking at a reactivity series. In a reactivity series, the metals are listed in descending order of reactivity, and a metal can replace only the metals that are below it in the series. Copper is below zinc in the reactivity series, so it cannot replace the zinc in zinc sulfate. So the equation would be:Cu + ZnSO4 --> no reactionReactivity series:
https://en.wikipedia.org/wiki/Reactivity_series