No, except to enlarge the image after stabilizing.
To stabilize the image, it has to be moved in the opposite direction. This reveals the edge of the image. If you think about it, the only way AE could avoid showing the edge would be to automatically generate new scenery at the edge of the frame, and that’s impossible for a computer to do unless the scenery at the edges consists of a solid colour.
So if you have solid blue sky at the edges, you might be able to do it, possibly by cloning it yourself before you apply the stabilizer.
Steve