You won't need a preamp between the DAC and the Little More Power. In fact, if you had to, you could use the LMP as a preamp itself. The Bel Canto output a two channel line-level signal, which is just what the LMP is looking for.
The real issue is the output capabilities of Playstation 2, which I have no clue about. If it can output two channel PCM audio via S/PDIF digital interface, you're home. PS2->Bel Canto->LMP->headphone. If the PS2 cannot downconvert Dolby Digital to PCM, then the Bel Canto won'd be able to decode the signal at all (however, I strongly suspect that the PS2 will have this capability, in which case you're fine).
However, I'd be remiss if I didn't point out that a DAC2 is a bit of overkill for this system. To fully utilize it, you're going to need a better transport and a better amp. In the setup you're going for, you'd be better off with something like an ART DI/O, which sells for a fraction of the price of the Bel Canto. Even without mods, the DI/O is a good DAC (high output gain, so you'll need to keep the volume really low on your amp, or use attenuators). If you get the urge to solder, the DI/O can be upgraded to very good performance, but you may not need to go that far.