Yes, P-16**A-C(50) can mate with S-16**A-J(50)(Scheduled to be discontinued).
Note that only shell is included, but connector unit is not included.
So, please purchase connector unit separately.
The shell that designed for a certain number of contacts,
can be assembled with solder, crimp and wire wrapping type connector unit
that designed for the same number of contacts.
** stands for the number of contacts