Yes it can be done and probably by several different methods. The complicating factor is how you want to 'run' the show on the touchscreen. If your touchscreen kiosk is displaying a Visio drawing then you would have to have Visio installed on that machine and it is likely that people interacting with the drawing could edit the file either inadvertently or maliciously. A safer option would be to create the graphic functionality and export the content in a format that can't be edited as easily (perhaps html) but still allows interactivity.
If you trust your 'users' then see this video to see one solution which uses Visio and macros to provide the functionality.
https://www.youtube.com/watch?v=Kbp_k1IfApY&t=529s