Is it possible to try the new python API?

Not yet. ATM we don’t know more than what has been said in Post-v5 new features and development news - #358 by eelik (unless someone here has some insider knowledge).

This is not completely accurate: the API can be used also as a normal python library from standalone python. But it’s the same API nevertheless. And the same is true for the new API: it can be used from inside KiCad and from outside.