Title says it all. Is $\{\{1,2,3\},\emptyset\}$ a partition of $\{1,2,3\}$? I'm guessing it isn't, because the definition in Naive Set Theory states the following:
A partition of $X$ is a disjoint collection $\mathbb{C}$ of non-empty subsets of $X$ whose union is $X$.
Thus violates the “non-empty” part of the definition, so no, it’s not a partition according to this definition.