No, you must write out the whole equation
Anode: Zn(s) -> Zn2+ + 2e-
Cathode: 2MnO2(s) + 2NH4+ + 2e- -> Mn2O3(s) + H2O(l) + NH3(g)
There's actually a way of deriving these:
(That's why I decided to learn both the lead-acid and the dry cell)
Acidic:
1. You start with the backbone. I.e.
MnO2(s)...