You need to transfer somewhere as there is no resort to resort bus system. We took the bus to MK then transfered from there. You can go by bus or boat. The other option is to go to DTD, either by boat or bus and take the bus to WL. This option isn't available in the early morning though so keep that in mind if you are trying to go for a breakfast ADR.
Disney always says to allow for an hour to travel from a resort to the parks or between parks. I have found that early AM they can be much faster but later in the day they may be slower.
We have done this several times for breakfast at the Whispering Canyon. We usually take a cab, it's not expensive and after breakfast we get the bus to Magic Kingdom. Taking Disney transportation, you could take the bus from OKW to Magic Kingdom and than a bus or boat to Wilderness Lodge. Like the other poster said, this could take a while if you don't hit the buses just right.
Save Up to 30% on Rooms at Walt Disney World!
Save up to 30% on rooms at select Disney Resorts Collection hotels when you stay 5 consecutive nights or longer in late summer and early fall. Plus, enjoy other savings for shorter stays.This offer is valid for stays most nights from August 1 to October 11, 2025.
CLICK HERE