Is it "possible"? Yes. But you would need to write the code. Would it be difficult? Not so much so. But you have some pretty non-specific specs there, and they would surely change as you thought of other things to add.
The point is that MATLAB is not a free form drawing tool, letting you draw whatever you want, and then getting the result as some function. It COULD be. But that would take code to do so.
MATLAB is a computational environment, not a function drawing and creating tool. It can do pretty much anything you want. But everyone is different, we all need to do different things. So nobody (that I know of) has written exactly the tools you want to see. You certainly could. Well, I know that I could. In fact, I've done at least part of this in the past, writing a gui interface for the precursor to my SLM toolbox. (Yes, that was a very nifty tool.)
