No, one cannot get "stuck" in a dream. Such ideas are science fiction and fantasy.
This dream suggests that the dreamer feels trapped in a situation that needs more air (inspiration) and/or light (information).
It could mean that you feel powerless or trapped in certain situations in your daily life.
One will awaken naturally. Situations such as being trapped in a dream, dreaming of being a dream and being unable to wake up through successive layers of dreams only occur in science and fantasy fiction.
Dreams are just your brain playing with your thoughts. Maybe it was to practice getting out.
One scene from the sea of monsters is when Percy has a dream of grover in a dress trapped in the cyclopes cave.
An actual interpretation would require better information of the dream, particularly what the dreamer is trying to escape from. Generally, the dream suggests that the dreamer feels trapped or severely restricted in some area of real life.
Eragon's dream in the first book, "Eragon" by Christopher Paolini, is about a mysterious stone that turns out to be a dragon egg. This dream sets off a chain of events that leads Eragon on a journey to become a Dragon Rider and plays a significant role in shaping his destiny.
Curley's wife dreams of becoming a famous actress and being in the movies. She feels trapped and lonely on the ranch, with her dream being her escape from her unhappy reality.
This dream might be about the current (late 2011) political climate in the U.S. The elephant symbolizes the Republican party, so the dreamer might feel trapped by the group of Republican presidential candidates. Similarly, the elephants might not represent candidates but associates with strong Republican opinions, or perhaps inflexible Republican policies. Alternatively, the elephants in this dream might symbolize some other group with elephant-like characteristics: huge, powerful, and immovable.
This dream need not be interpreted literally. It most likely reflects your feeling that you are being restricted too tightly within your own family circle. You FEEL as if you are being trapped inside an inbred system.
In the novel "Monkey Beach" by Eden Robinson, Lisa dreams of her missing brother Jimmy trapped in the spirit world. This dream motivates her to search for him and try to uncover the truth of his disappearance. Throughout the story, the dream serves as a driving force for Lisa's journey and self-discovery.
No it is not, Trapped is a noun :)