Sure, in the sense that the Earth can never leave a small fixed area of the sky, that area of the sky generally doesn't include the horizon, and the Earth cannot be seen to move at all except over very long periods of time.
In other words, not only are they not the same, they are not similar in any way, nor is "rise" an applicable term.
In other words, not only are they not the same, they are not similar in any way, nor is "rise" an applicable term.