Yes.
Yes, you can- 
If you can display HTML,
Cayenne Dashboard is a .www HTML webpage.
Fill, drain, fill limit, temperature, bubbles, jets…
yup, all controllable.
Cayenne remotes receive instructions serially-
so, the last instruction given dictates the state.
I think there’s even a Cayenne controlled internet radio player now! 
…listen to your favorite internet radio while soaking…