Android LazyVerticalGrid 不支持原生的滑动删除，但是可以通过自定义实现。

首先，需要在 LazyVerticalGrid Adapter 中实现一个回调接口，用于在滑动删除时更新数据：

interface OnItemRemovedListener {
    fun onItemRemoved(position: Int)
}

然后，在 LazyVerticalGrid Adapter 中实现 ItemTouchHelper 接口以便处理滑动删除事件：

class GridAdapter(val onItemRemovedListener: OnItemRemovedListener) :
    RecyclerView.Adapter(), ItemTouchHelperCallback {
    
    // ...

    override fun onItemMove(fromPosition: Int, toPosition: Int): Boolean {
        // not used in LazyVerticalGrid
        return false
    }

    override fun onItemDismiss(position: Int) {
        onItemRemovedListener.onItemRemoved(position)
        notifyItemRemoved(position)
    }
    
    // ...
}

在 Activity 或 Fragment 中，构造 ItemTouchHelper 并为 LazyVerticalGrid 设置 TouchHelper：

val itemTouchHelper = ItemTouchHelper(GridAdapter(lazyVerticalGridAdapter))
itemTouchHelper.attachToRecyclerView(lazyVerticalGrid)

lazyVerticalGridAdapter.setOnItemRemovedListener(object : OnItemRemovedListener {
    override fun onItemRemoved(position: Int) {
        // remove item from data source
        dataItems.removeAt(position)
    }
})

然后，在 LazyVerticalGrid 中添加 OnItemTouchListener 处理滑动删除事件：

lazyVerticalGrid.apply {
    addOnItemTouchListener(object : OnItemTouchListener {
         override fun onInterceptTouchEvent(rv: RecyclerView, e: MotionEvent): Boolean {
             // get the touched view
             val childView = rv.findChildViewUnder(e.x, e.y)
             if (childView != null && gestureDetector.onTouchEvent(e)) {
                 // handle delete event with itemTouchHelper
                 itemTouchHelper.startSwipe(this@apply.getChildViewHolder(childView))
                 return true
             }
             return false
        }

        // ...
    })
}