I think it is not possible to do it with standard C++ right now (but lets hope that a powerful compile-time reflection will come to C++ soon...). However, there are a number of options for doing so.
You might have a look at Injector++. It is Windows only right now, but plans to add support for Linux & Mac.
Another option is CppFreeMock, which seems to work with GCC, but has no recent activities.
HippoMocks also provide such ability, but only for free functions. It doesn't support it for class member functions.
I'm not completely sure, but it seems that all the above achieve this with overwriting the target function at runtime so that it jumps to the faked function.
The there is C-Mock, which is an extension to Google Mock allowing you to mock non-virtual functions by redefining them, and relying on the fact that original functions are in dynamic libraries. It is limited to GNU/Linux platform.
Finally, you might also try PowerFake (for which, I'm the author) as introduced here.
It is not a mocking framework (currently) and it provides the possibility for replacing production functions with test ones. I hope to be able to integrate it to one or more mocking frameworks; if not, it'll become one.
Update: It has an integration with FakeIt.
Update 2: Added support for Google Mock
It also overrides the original function during linking (so, it won't work if a function is called in the same translation unit in which it is defined), but uses a different trick than C-Mock as it uses GNU ld's --wrap
option. It also needs some changes to your build system for tests, but doesn't affect the main code in any way (except if you are forced to put a function in a separate .cpp file); but support for easily integrating it into CMake projects is provided.
But, it is currently limited to GCC/GNU ld (works also with MinGW).
Update: It supports GCC & Clang compilers, and GNU ld & LLVM lld linkers (or any compatible linker).