Moving a GameObject to another one based on a single touch

Unity Engine
1

I am currently attempting to make an iOS game where the player has to climb a mountain using holds (another game object) where the player jumps to. I am trying to figure out a way to make the player move from its current position to the position of a hold based on a single touch input, and it would be nice to have the move at a slower rate than just a single frame, which is where I am at right now.

    public GameObject player;

    public GameObject ground;

    public float speed = 10f;

    void Update()
    {
        if (Input.touchCount == 1)
        {
            Vector3 wp = Camera.main.ScreenToWorldPoint(Input.GetTouch(0).position);
            Vector2 touchPos = new Vector2(wp.x, wp.y);

            if (GetComponent<Collider2D>() == Physics2D.OverlapPoint(touchPos))
            {
                while (player.transform.position != transform.position)
                {
                    Climb();
                }
            }
        }
    }

    void Climb()
    {
        player.transform.position = Vector2.MoveTowards(player.transform.position, transform.position, speed * Time.deltaTime);
    }

As soon as I touch the hold, the player seemingly teleports to the hold because it’s being performed in a single frame. Is there any way to have an object move outside of the update method?

2

For anyone who has the same problem, I found the solution to do this, basically make a new position as a Vector2 and assign it to the player position outside of the if statements, then assign the touch position to the new position inside of the if statement.