No. "The Parting of the Ways" indicates that the entity left her. She later invokes Bad Wolf in "Turn Left" to prove her identity to the Doctor via her message from Donna. The manifestation of Bad Wolf imagery that follows is explained retroactively in "Parting of the Ways" when Bad Wolf tells the Doctor she exists through time and space. The character played by Billie Piper in "The Day of the Doctor" is not Rose Tyler, nor is it Bad Wolf; she is playing "The Moment", a sentient weapon that chooses the form of Rose/Bad Wolf for the Doctor's benefit, though it miscalculates and chooses a form the War Doctor does not yet recognize.