Yeah, there is a way but I don’t actually know how.
I think it’s called “SharedObjects”. The Flash Player allows you to store up to 100KB on the viewers computer .
I think this is how it goes: (simple example)
//Initialization
newSharedObject = SharedObject.getLocal(“newData”);
//to save data
//here we are trying to save the coordinate of the movieclip called
//newMovie in a variable called newMovieX, and
//flush is the method that stores the data.
newSharedObject.data.newMovieX = newMovie._x;
newSharedObject.flush();
//to retreive the stored data
newMovie._x = newSharedObject.data.newMovieX;
Note: This is just my assumptions, some may be correct and some may not.
Double check with the gurus in FlashKit 
Hope that helped 