Can Android 2.3.4 be rooted?
The SuperOneClick dev's website http://shortfuse.org/ states on their August compatibility list:


  All 2.3.4 devices need a custom root method.


Looking around, there doesn't seem to be a universal one click root method for 2.3.4 yet, most of the root methods for the later Gingerbreads involve flashing custom firmware, etc which is more involved.