Can I set the CPU Core for the context thread in JavaRTO API?

Yes, you can set the thread affinity of the automatically created context thread.
The relevant context properties for the underlying C API can be found here.

From within JavaRTO, you can provide the required “CONTEXT_THREAD_AFFINITY” property on context creation like so:

String[] contextProperties = new String[4]; 
int index = 0;
contextProperties[index++] = "CONTEXT_THREAD_AFFINITY";
contextProperties[index++] = "255";
contextProperties[index++] = "CONTEXT_CREATE_THREAD";
contextProperties[index++] = "1"; 
rc = Solclient.createContextForHandle(contextHandle, contextProperties);

Note: if you pass context properties to createContextForHandle(), you must include CONTEXT_CREATE_THREAD with a value of 1. (Its default is 0, meaning disabled, which is not supported).