Originally "Pass The Kutchie," meaning marijuana pipe. Because all the members were between 11 and 16 years old at the time, the group's manager suggested a lyic change, replacing "Kouchie" with "Dutchie." The name change also helped it get airplay on radio and MTV.
A "Dutchie" is a Jamaican cooking pot and a joint, which is traditionally passed to the left (if any druggies are reading, am I right with this fact??).
As for the cooking pot bit, when you smoke a lot you get the Munchies so it literally means "pass the food man, I've got a bad case of the munchies".