michaelj89:Would it be possible to apply this to a platform positioned from a level map text file (as in the Platformer Starter Kit)?
I don't see why it would make a difference. You will just have to make sure to take note of each platform in your code as it's loaded in. This may require a list object to keep track of them.
michaelj89:I have been told about path following algorithms, would these be advisable?
I don't see how that would apply. You aren't forcing the player to follow the platform, and you aren't making the platform follow the player (unless I misunderstood you).