No, actually not. The current state of research in quantum physics makes it look like there is randomness. But the thing about randomness is: Nobody has any control over it. So again, life (and the universe) may not be fully deterministic, but we have no absolute responsibility for whatever happens (only a relative one, relative to our culture, that is).
> Also it assumes no social interaction with others
No, of course we have social interactions, which influence us. But they are themselves a function of 1) our genes (i.e. whom we approach or not) and 2) our initial location (with all its properties).