Is it possible to invoke a button Press With a Coroutine?

I have a series of coroutines that I would like to see if I can get them to invoke a button press but I have not found any information on if that is even possible or if so how?

So, if I understand your question correctly, you are trying to invoke the functionality of a button that is blocked by another panel some other way. All you have to do is get a reference to the button and invoke the onClick event that all buttons have:

UnityEngine.UI.Button myButton.onClick.Invoke();

It’s all in the Unity documentation: UI.Button