Is it possible to add an extra element to an object[] array if it has already been instantiated?

Assume the following code as an example:

static void Main(string[] args)
    {
        Object objects = new Object();
        objects.object1 = new ObjectList[4];
    }
    
    public class Object
    {
        public ObjectList[] object1;
    }
    
    public class ObjectList
    {
        public string name;
    }

Let's say the user wants to input another element in the object1[] array later on with a Console.ReadLine() - would this be possible or is the array length after initialization final? In other words, can the same object array be deleted or overwritten to contain 5 elements instead of 4 (perhaps utilizing a temporary array to transfer the separate objects within the array).

Yes, but no. Although you can resize the array and copy all the elements into it, thats not how it should be done, because of performance issues and simply because arrays are meant to hold exact ammount of elements.

One of correct ways of doing this is to use List<T> and from here you can filter it using LINQ, add elements, remove elements,...

Array.Resize(ref objects.object1, 5);

It resizes your array (copies elements from old one to new one).