For anyone wondering, this was done on the virtual console version, so the floating point glitch that lets you skip the climbing pole from Bowser in the fire Sea is available.
The A Button Challenge still stands for the console versions.
Pannenkoek does have a few videos documenting stars that can be beaten with No Joystick Allowed strats (these are old and there are more on the secondary UncommentatedPannen channel but I don't see a playlist compiling them). A full run is definitely not possible, but at least some stars are doable.
Oh boy, is the A Button Challenge still ongoing. There is quite a hunt to further reduce the approx. 18 presses to get 120 stars in a full-game TAS, or to find faster and human-viable strategies to avoid these A presses.