While it might be possible, it doesn't seem to be that trivial to do. Moving the parent CombatText does nothing, since all the fontstrings used aren't anchored to it. There's a lot of :SetPoint calls to position these strings correctly, in relation to each other, so you would have to hijack a lot of stuff just to move it a tinsy winsy bit.
If you're familiar with lua, the code is available for browsing here:
https://github.com/tekkub/wow-ui-sou...rd_CombatText/
Sorry this isn't that helpful, but I think it would be a major undertaking to do what you ask, albeit possible.