I don't understand what seems to be the problem? How do you plan to touch it if you don't use touch object?
You have million ways to do it but you're not being clear enough what exactly do you want to achieve.
If you want it to be like on the picture, make a small canvas with UI elements and deactivate it on runtime. Activate it again when you touch the spot, deactivate it when you touch somewhere else.
Or you can use multiple cameras or culling to simply hide it instead of activate/deactivate it.