Answer: no, you cannot change the position of the options menu.
The reason you cannot change your position is because of the standards of the human interface between applications. As others pointed out in the comments on your question, it is important to have common points of agreement on the platform. Apple recognizes this, so they will simply refuse to allow your application on the App Store if you violate their recommendations. Google is kinder about this, sometimes to the detriment of users who have repeatedly and loudly complained about application mismatch.
Of course, you can roll back your own menu system, which is part of the freedom that Google gives you. The reaction from users will be on your shoulders (and, possibly, in other parts of the body, depending on how good the goal of these users is when throwing things).