Can we connect Oracle Apex to Control-M in such a way that I can manage my jobs present in Control-M through Apex ?
I'd say the answer would be yes, since Control-M publishes some form of REST APIs
https://docs.bmc.com/docs/automation-api/918/control-m-automation-api-home-783053197.html
which APEX can handle no problems.
https://blogs.oracle.com/apex/creating-a-crud-form-on-a-rest-service-with-apex-181