Nitrogen only forms NCl$_{3}$ and not NCl$_{5}$ due to the absence of vacant d-orbitals in its valence shell. Phosphorus, on the other hand, has vacant d-orbitals in its 3d subshell, which allows it to expand its valence shell and form PCl$_{5}$, a stable compound. Nitrogen lacks these orbitals, so it cannot form a five-bond structure with chlorine, making NCl$_{5}$ impossible.