In draggable gridlayout cells of the GridLayout(consist rows and columns) can be draged from one position to another by using OnDragListener.

To use GridLayout, first add gridlayout to project gradle (app level) and follow below steps to add GridLayout:-

1. go to File->ProjectStructure->app->Dependencies->+->Library dependency
2. Search for gridLayout and press OK

3. On Item touch listener of GridLayout Item, GridLayout.setOnDragListener(new DragListener(thumbnailId)) is call to initiate OnDragListener.
 

class DragListener implements View.OnDragListener {
        public ArrayList<ImageModel> imagesList;

        public DragListener(ArrayList<ImageModel> imagesList) {
            this.imagesList = imagesList;

        }

        @Override
        public boolean onDrag(View v, DragEvent event) {
            final View view = (View) event.getLocalState();
            switch (event.getAction()) {
                case DragEvent.ACTION_DRAG_LOCATION:
                    if (view == v) return true;
                    index = calculateNewIndex(event.getX(), event.getY());

                    if (!checked) {
                        startIndex = index;
                        checked = true;
                    }

                    final Rect rect = new Rect();
                    mScrollView.getHitRect(rect);
                    final int scrollY = mScrollView.getScrollY();

                    if (event.getY() - scrollY > mScrollView.getBottom() - 250) {
                        startScrolling(scrollY, mGrid.getHeight());
                    } else if (event.getY() - scrollY < mScrollView.getTop() + 250) {
                        startScrolling(scrollY, 0);
                    } else {
                        stopScrolling();
                    }

                    // remove the view from the old position
                    try {
                        mGrid.removeView(view);
                        // and push to the new
                        mGrid.addView(view, index);
                    } catch (Exception e) {
                        e.printStackTrace();
                    }
                    break;
                case DragEvent.ACTION_DRAG_ENDED:

                    if (!event.getResult()) {
                        view.setVisibility(View.VISIBLE);
                    }
                    view.setVisibility(View.VISIBLE);
                    checked = false;
                    int lastIndex = index;
                    if (startIndex > lastIndex) {
                        imagesList.add(lastIndex, imagesList.get(startIndex));
                        imagesList.remove(startIndex + 1);
                        mGrid.removeAllViews();
                        setThumbnail(imagesList);
                    } else if (startIndex < lastIndex) {
                        ImageModel temp = imagesList.get(startIndex);
                        for (int i = startIndex + 1; i <= lastIndex; i++) {
                            imagesList.set(i - 1, imagesList.get(i));
                        }
                        imagesList.set(lastIndex, temp);
                        mGrid.removeAllViews();
                        setThumbnail(imagesList);
                    }
                    break;
            }
            return true;
        }

Source Code:-please find attachment.