C# and Java programs can be aware of their own classes because both .NET and Java runtimes provide reflection, which, in general, lets a program have information about its own structure (in both .NET and Java, this structure happens to be in terms of classes).
There's no way you can afford reflection without relying upon a runtime environment, because a program cannot be self-aware by itself*. But if the execution of your program is managed by a runtime, then the program can have information about itself from the runtime. Since C++ is compiled to native, unmanaged code, there's no way you can afford reflection in C++**.
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* Well, there's no reason why a program couldn't read its own machine code and "try to make conclusions" about itself. But I think that's something nobody would like to do.
** Not strictly accurate. Using horrible macro-based hacks, you can achieve something similar to reflection as long as your class hierarchy has a single root. MFC is an example of this.