I assume you're talking about the floating action button.
No, it would not be possible to move it to the left.
The button's position is a part of its design -- which is being annoyingly imposed promoted by Google as the best thing ever in UI design.
Many users are madly in love with Google's latest UI patterns, and will give me a hard time if some margin or shadow size is "not the way it should be". I hate it.
Even if I did move it, it would still overlap something somewhere. It's just what happens when you have a UI element on top of other UI elements.
Now, that being said, two things:
- First, the button floats (slides away, beyond the bottom of the screen) when you scroll the account list or message list.
- Second, you can turn off this new button in the app's settings under Look and feel, and you'll be back to a plain, non-overlapping, icon bar along the bottom of the screen.