Your math is definitely
Runge-Kutta techniques are useful for solving a known set of differential equations numerically. This does not give you a convenient way to figure out which set of differential equations will give you a known set of points. Worse yet, many sets of equations will give you those points, and Runge-Kutta offers you no way to decide between them.
Thus while the similarity of certain key-words might make you think that there is a useful connection, there really isn't one.