I have something similar to that and mine does not appear to have any sort of circuitry inside. I'm guessing it relies on the pda itself to have a circuit to stop the charge. In itself, it appears to be nothing more than a battery box with the correct connecter and a switch. But I could be wrong.
chr00t: Do not substitute NiMH with Li-ions unless you have some plan to limit the voltage. Li-ion delivers between 3.6V to 4V. So maybe you might only require 2 Li-ion cells instead of 4 NiMH, but I wonder how safe it might be since at full charge there would be a 3V difference between what you have and what you need.
If you're planning to build a battery pack using 4 D cells instead of 4 AA cells, I don't see much wrong with it. Except, of course, it will be big, bulky and heavy. And I've found that with big, bulky, heavy things, you tend to leave them at home just when you need it most.
Personally, I've found that AA cells will recharge my pda (Toshiba e310) just fine. And there always seems to be extra charge left over, so I'm guessing my pda cell's capacity isn't close to the 2100mAh of the AA cells I'm using.