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HTML

              
                <svg id="svg" viewBox="0 0 800 800">
  
  <path id="path" class="path" />
  
  <polyline id="handle-1" class="handle" points="100,400 200,300" />
  <polyline id="handle-2" class="handle" points="300,300 400,400 500,500" />
  <polyline id="handle-3" class="handle" points="600,500 700,400" />
  
  <rect id="anchor-1" class="anchor" x="-5" y="-5" width="10" height="10" />
  <rect id="anchor-2" class="anchor" x="-5" y="-5" width="10" height="10" />
  <rect id="anchor-3" class="anchor" x="-5" y="-5" width="10" height="10" />
  
  <circle id="control-1" class="control" r="5" />
  <circle id="control-2" class="control" r="5" />
  <circle id="control-3" class="control" r="5" />
  <circle id="control-4" class="control" r="5" />
</svg>
              
            
!

CSS

              
                body {
  background: #1d1d1d;
}

#svg {
  position: fixed;
  top: 0;
  left: 0;
  width: 100%;
  height: 100%;
}

.path,
.handle {
  fill: none;
  stroke: #4e7fff;
  stroke-width: 2;
}

.anchor,
.control {
  fill: #4e7fff;  
  stroke: rgba(0,0,0,0.2);
  stroke-width: 1;
}
              
            
!

JS

              
                
gsap.registerPlugin(Draggable);

let path  = document.querySelector("#path");

let handle1 = document.querySelector("#handle-1").points;
let handle2 = document.querySelector("#handle-2").points;
let handle3 = document.querySelector("#handle-3").points;

let points = [
  handle1.getItem(0), // 0 - anchor1
  handle1.getItem(1), // 1 - cp1  
  handle2.getItem(0), // 2 - cp2
  handle2.getItem(1), // 3 - anchor2
  handle2.getItem(2), // 4 - cp3 
  handle3.getItem(0), // 5 - cp4
  handle3.getItem(1), // 6 - anchor3
];

let cp1 = createControl("#control-1", points[1]);
let cp2 = createControl("#control-2", points[2]);
let cp3 = createControl("#control-3", points[4]);
let cp4 = createControl("#control-4", points[5]);

let anchor1 = createAnchor("#anchor-1", points[0], cp1);
let anchor2 = createAnchor("#anchor-2", points[3], cp2, cp3);
let anchor3 = createAnchor("#anchor-3", points[6], cp4);

updatePath();

function createAnchor(element, point, handle1, handle2) {
  
  element = gsap.utils.toArray(element)[0];

  if (handle1 && handle2) {
    handle1.linkedHandle = handle2;
    handle2.linkedHandle = handle1;
  }

  gsap.set(element, { x: point.x, y: point.y });

  let draggable = new Draggable(element, {
    onDrag() {

      point.x = this.x;
      point.y = this.y;

      handle1 && handle1.update(this.deltaX, this.deltaY);
      handle2 && handle2.update(this.deltaX, this.deltaY);

      updatePath();
    }
  });
}

function createControl(element, point) {
  
  element = gsap.utils.toArray(element)[0];

  gsap.set(element, { x: point.x, y: point.y });

  let controlPoint = {
    linkedHandle: undefined,
    target: element,
    point,
    update(dx, dy) {      
      gsap.set(this.target, { x: `+=${dx}`, y: `+=${dy}` });
      this.point.x += dx;
      this.point.y += dy;
    }
  };

  let draggable = new Draggable(element, {
    onDrag() {

      point.x = this.x;
      point.y = this.y;

      if (controlPoint.linkedHandle) {        
        controlPoint.linkedHandle.update(-this.deltaX, -this.deltaY);
      }

      updatePath();
    }   
  });

  return controlPoint;
}  

function updatePath() {

  let p = points;

  path.setAttribute("d", `
    M${p[0].x},${p[0].y} C
     ${p[1].x},${p[1].y} ${p[2].x},${p[2].y} ${p[3].x},${p[3].y}  
     ${p[4].x},${p[4].y} ${p[5].x},${p[5].y} ${p[6].x},${p[6].y}`);
}
              
            
!
999px

Console