Can Olivia move between worlds? Walter confronts her with that question in this clip from Fringe. She then tries to take some pills to get rid of Peter... as a symptom.
(to Olivia) You know why you let him go, don't you? Because you can understand what he's going through trapped in that amber, just like you're trapped over here. Only difference is, nobody's going to save you. Only you can save yourself.