No: Myths & Misconceptions.
18 Myths About Hypnosis
A person may not be easily awakened and may remain in the hypnotic state for a long time or get “stuck” in this state.
No one has remained indefinitely in a hypnotic state. The state can be terminated at will. It is as simple as opening the eyes. You cannot get stuck in hypnosis and not “wake up.” There have been cases where people stayed in a hypnotic state a bit longer than usual and they have all reported it was their own choice not to come back to a regular waking consciousness simply because "it felt so good and relaxing". Getting out of the state is as easy as opening your eyes and you always have control over it*.