Sure thing m8.
If you take the DVD-ROM drive off the PS2, you should see three cables. One from the laser, another brown one from the worm screw motor and another coming from a small green PCB - it's white with 5 pins. These pins are soldered in place, but can easily come off or snap off from the contact point. Check all the pins are still in place. If you find some have come off, take the cable off completely, strip some of the coating back so you reveal the strips inside, lay the cable back on the contact points ( right way up of course
) and then melt solder over the top of the pins and onto the contact points. Your cable should now be back on, and then the PS2 should fire right up and eject as normal
EDIT: Be very careful though, the pins are fairly close together...