Yes, you can move or clone to a separate server with a single click. Only volumes are not currently supported when doing this.
How? I can't find it in the docs.
Just use the Clone button on the Resources page or on the Resource Operations tab of an application - the functions are very self-explanatory, so there is no documentation yet.
Full instance migration is in development but not yet released.
I understand you think it is obvious and no docs are required, but it is a bit ambiguous ”you can move or clone to a separate server with a single click” and ”Full instance migration is in development but not yet released.”