Short answer: No. The PlayStation 2 cannot charge an iPod. Here's the technical breakdown of why this doesn't work.
Some early iPods (3rd/4th generation, FireWire charging) might trickle-charge from the PS2's iLink port if you had a 6-pin-to-4-pin adapter with external power injection—but it's unsafe, painfully slow, and completely unsupported. Just use a real charger. The PS2's USB is for peripherals, not power delivery.