Phosphorous belongs to the second period of the periodic table, hence it does have vacant d orbitals which it can use to expand its octet during bond formation.
Hence, in the formation of , Phosphorous uses its five d-orbitals by expanding its the octet to form five bonds with the five respective Chlorine atoms.
However, the nitrogen belongs to the first period, having no vacant d orbitals to expand further for bond formation
Thus, the molecule , does not exist as there are no d-orbitals available in the Nitrogen valence shell, for which there is no way to arrange five pairs of bonding electrons around a nitrogen atom, and formation of five bonds with the five Chlorine atoms.
Hence, the reason why exists but does not, has been explained above.