Classification of unknown objects

My question is fairly simple. Suppose I have trained an object classification model which can recognize hundreds of objects. Now, if I give an image of unknown object for example, I didn’t train on Cat, so, will it recognize this as one of the nearby class?
Is it possible to recognize this image as unknown object? And classify this as an object which needs to be labeled? For example, I wish to have a model that can recognize unknown objects like we humans do, for example it can recognize the unknown object as unknown object 1, unknown object 2, etc.?

Thanks in advance, this is my first post in this community, hope to be more frequent on the platform.