Yes, you could think of it this way if you are early career. However, ideally you would apply in your own right (as the Principal Investigator, or PI) for a research project that you have designed. Often you would then refer to yourself as an Independent Researcher rather than a Post Doc, and this may be more prestigious and useful for your career. However, you can most certainly include collaborators or Co-Investigators (Co-Is) in your proposal and may wish to do so if you are early career, or new to the cultural evolution field etc. Alternatively, a more senior individual may act as the PI but fund you as a Co-I or Post Doc via the award.