Also see this answer and this one
It is possible. It always seems like a good idea at the time but afterwards it becomes a maintenance nightmare. Your code become littered with pieces of code tying everything together. A new programmer will have lots of problems reading and understanding the code if you use function pointers since it will not be obvious what functions is called.
Data hiding with get/set functions is easy to implement in C but stop there. I have seen multiple attempts at this in the embedded environment and in the end it is always a maintenance problem.
Since you all ready have maintenance issues I would steer clear.