Short version: No.
If you want a fully rooted A43IT you need to install UrukDroid or CyanogenMod.UrukDroid at xda-developers.comCyanogenMod Bull at xda-developers.com
I've tried both and would suggest UrukDroid is better suited to an A43IT if only because the fonts in CyanogenMod Bull are too tiny (probably they look great on a 10 inch tablet) but you could probably replace the fonts via Android ADB. CyanogenMod Bull's video playback is also no good (no hardware accelerated playback). UrukDroid's native samba browsing is broken so while its video player does work it is a real pain in the backside to simply play video hosted on your local network. I ran into plenty of other issues with UrukDroid, especially very high CPU load, hence power consumption and lousy battery life, but on the other hand lots of people love it. It's probably worth trying and deciding for yourself if any of the issues are relevant to you or if having root outweighs them. I didn't keep CyanogenMod installed long enough to discover much more about it because if I can't use the hardware accelerated video player then the device isn't much use to me. I may try it again if that gets fixed (I can fix the fonts but I can't fix the video playback) as CyanogenMod for gen8 does seem to still be under development (bug reports are responded to). UrukDroid development is finished (the dev's gen8 device broke and that's that) so no more improvements.
Another possibility is to use Chulri's root Chulri's root at xda-developers.com
Chulri's root has a severe performance issue in r+w mode, see http://forum.xda-developers.com/showthread.php?t=1305258
which won't be getting fixed (seems due to the way in r+w mode it needs to write all persistent changes to a mounted disk image disk, which leads to a huge amount of disk access). Read only mode would seem to be OK but then who wants root but doesn't want to write as root and make persistent changes?
I actually have Chulri's root in r+w mode as a dual boot because it does allow persistent changes to be made to the original firmware in some limited areas such as in /data/data so I have been able to make some config changes to apps which persist when I run the regular Archos firmware (which is 99% of the time). It also lets me back up installed .apk easily without needing any backup app.
So you might find a root solution that suits you but there is no ideal, and definitely nothing like a one click magic app now.