That is exactly what it means - you should be able to run a server on the RPi. I have been able to successfully train and create a model on the RPi.
It sounds like you are working on an end2end personal assistant project - you can think of RASA in this case acting as the brain for your system. And it can do that. The whole reason why I decided to work with RASA was that I saw it had the flexibility to do all this.
If you are curious, here was the criterion I used to assess RASA:
And believe it or not, RASA checked off everything on this list.
Now, I think all the rest you have to do @fuih is to let your imagination run wild and see what you can do. If you need any help getting this running on your RPi, we are here to support you!
Good luck making your RasaPi!