Answer : YES, the reaction will give a precipitate.
Explanation : When ammonium sulfate and calcium acetate are mixed together the reaction that occurs is given below :
[tex] (NH_{4}) _{2} SO_{4} + Ca ( C_{2} H_{3} O_{2} )_{2} -----\ \textgreater \ Ca SO_{4} + 2 [NH _{4}( C_{2} H_{3} O_{2} ) ][/tex]
a simple displacement reaction occurs which yields Calcium Sulfate as the precipitate along with the Ammonium acetate as the by-product.
As we know calcium sulfate is a solid which is obtained, the major product will get precipitated. And rest other ions which are formed, remains in aqueous form.
The net ionic equation will be consisting of only the solid precipitate that is formed.
[tex]Ca ^{2+} _{(aq)} + SO _{4} ^{2-} _{(aq)} ----\ \textgreater \ CaSO_{4}^{2-} _{(s)}[/tex]