Review models are generally set at the vp level, so generally speaking you can move around freely under the same vp. There are exceptions to this and I know rajesh is working with his vps to look at allowing free transfers across his orgs but that is not implemented yet.
Within the same org it's a lot more likely, if you get an interview there is a low chance it will be technical. Under your skip from what I understand you're able to move around easily.
Under your skip if you play it as being really interested in another team and their work, maybe. Switching in a short amount of time is typically a bad move though.
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If you are moving to different teams and org altogether, you will go through a loop and hiring decision.