I would like know if our Solar System is moving independently through our galaxy or is stuck on the Orion Arm which is revolving around our galaxy? Is our solar system an onboard passenger of the Orion Arm?
The arms of a spiral galaxy are "gravity waves" Stars orbiting the galaxy are pulled towards them and speed up as they approach, and then are slowed down as they leave. So an arm of the galaxy is not composed of the same stars. The arm is, in some ways, like a fountain, because it can maintain its shape even though the stars in it are constantly changing.
So the sun will move in its orbit out of the arm and into another, just the same as other stars.