Aluminum Bromide is AlBr₃. This may be a simple single-replacement reaction if you can replace Al to Zn. However, you need a guide for this: the relative reactivity of metals. Usually it is a vertical list of metals. The metals at the top will displace the bottom ones. Al is above Zn. So, Zn cannot replace Al. So, there is no reaction.
AlBr₃ + Zn → n.r (no reaction)