Today the CA LDAP Server is running in one LPAR. Can the CA LDAP Server also could be started in another LPAR to get a High Availability environment? So if one CA LDAP Server goes away for some reason, the other CA LDAP Server should be able to run and support all users? This could also be called a "failover" solution.
Component : CA LDAP Server for z/OS
The LDAP protocol does not support "failover" to switch to a different port for a different LDAP. What is recommended is to use DVIPA (dynamic virtual IP addresses) which is part of TCP/IP. LDAP would connect to DVIPA on the mainframe, and if a connection fails, it will switch to a different one depending on how DVIPA is set up.
IBM Documentation Using dynamic VIPAs