Custom exception class for continuing to program

Question

In my program, I have created doubly linked list. For inserting and deleting I have defined methods Insert(int element,int pos) and Delete (int pos). Those two methods throw exception. In the same class I have defined Exception LinkedListException() which returns new custom exception class HW2Exception. From my main I created the object for insertion and deletion in try-catch block.

So in the below example the 4th and the 5th insertions dont link to the list.

In my previous question I got many suggestion to make it with some methods

1. Is there any possibility to continue to program by changing the HW2Exception class?
2. If I dont want to halt the insertion or deletion what should I do?

public static void main(String[] args) {
    LinkedList myList = new LinkedList();

    try {

        myList.Insert(1, 0);
        myList.Insert(2, 0);
        myList.Insert(5, 54); //false entry
        myList.Insert(2, 0);
        myList.Insert(0, 0);
        

    } catch (Exception ex) {
        System.out.println(ex.getMessage());

    }

    myList.Output();

    public int Delete(int pos) throws Exception {
    int element; // variable for holding the deleted node's element value

    if (head == null) { //
        System.out.print("In Delete method->");
        throw LinkedListException();

       public void Insert(int newElement, int pos) throws Exception {
        DoubleLinkNode newNode = new DoubleLinkNode(newElement);

        if (head == null && pos == 0) {
            head = newNode;

        } else if (pos == 0 && head != null) {
            newNode.right = head;
            head.left = newNode;
            head = newNode;

.....
...
..
..
        

            } else {
                System.out.print("In Insert method->");
                throw LinkedListException();
            }

So also in the same class I have defined

    public Exception LinkedListException() {
        //if we dont use the custom exception  class 
        // throw new UnsupportedOperationException("False entry for pos variable "); 
        return new HW2Exception("False entry for pos variable ");

    }

this is my custom exception class

    public class HW2Exception extends Exception{
    
     // parameterized constructor that accepts only detail message  
    public HW2Exception(String message){
        
        // calling parent Exception class constructor
        super(message);
   
    }
}

In my previous question I got many suggestion to make it with some methods

1. Is there any possibility to continue to program by changing the HW2Exception class?
2. If I dont want to halt the insertion or deletion what should I do?