Yes, of course. They are fairly typical symptoms of DID.
Sometimes I experience as "hearing myself talking", especially in therapy, but also in other particular situations. Sometimes I (or another alter) can hear our "self" talking aloud to another person but are dissociated from the content of what is being said. In that instance we usually try to let T know that we are aware we were speaking but we have no idea what we were saying. At other times (again, especially in therapy) one of us might try to talk to T about something only to have our thoughts suddenly and immediately be inaccessible to us. Both thought insertions and thought withdrawal symptoms in us are unequivocally due to dissociative processes and amnestic barriers between alters. And both happen to us quite a lot.