How to move an Object in a path?

Hi All,
What I am trying here is, to move a GameObject in a particular path,
I have a straight line of path(in form of cubes), I just want my Player object to travel from one cube point to another in a path.
For Example :
Consider my player is in Cube-2, one pressing two, he should move two more blocks and go to Cube-4, so his path is, [ Cube-3, Cube-4].

The below is my code, but the problem here is, my player object is only moving a little from his current position.
Please help me on this, what am I doing wrongly?

 using UnityEngine;
 using System.Collections;
 
 public class Player : MonoBehaviour {
     
     ArrayList path;
     private Animator animator;
     private int currentPosition;
     private string currentAnim;
 
     void Start () {
         animator = GetComponent<Animator> ();
         currentPosition = 1;
         transform.position = GameObject.Find ("Cube-1").transform.position;
         currentAnim = null;
         playAnimation("unarmed_idle");
     }
     
     void FixedUpdate () {
         ArrayList path = CalculatePath ();
         if (path != null) {
             playAnimation("walk");
             // Move the player from one point to other
             foreach(GameObject pathPoint in path)
             {
                 MoveToPosition (pathPoint.transform);
             }
             playAnimation("idle");
         } else {
             playAnimation("idle");
         }
         
     }
 
     /**
      * Calculates the points from current position to end position
      */
     ArrayList CalculatePath(){
         ArrayList path = null;
         string keyPressed = Input.inputString;
         int moveBy = -1;
         switch (keyPressed) {
         case "1":
             moveBy = 1;
             break;
         case "2":
             moveBy = 2;
             break;
         case "3":
             moveBy = 3;
             break;
         default:
             break;
         }
         if (moveBy != -1) {
             path = new ArrayList (0);
             int endPosition = currentPosition + moveBy;
             // Find the GameObjects from current to end position
             for(int i = currentPosition + 1; i <= endPosition; i++){
                 path.Add(GameObject.Find("Cube-" +  i));
             }
             currentPosition += moveBy;
         }
         return path;
     }
     
     void MoveToPosition(Transform target){
 
         Vector3 currentPosition =  transform.position;
         Vector3 targetPosition = target.position;
         transform.position = Vector3.MoveTowards (currentPosition, targetPosition, Time.deltaTime * 2f);
 
     }
 
     void playAnimation(string animation){
         if (currentAnim != animation) {
             currentAnim = animation;
             animator.Play(currentAnim);
         }
     }
 }