Yep, they do it and here is the link to the Disney page with the schedule and times.
https://disneyworld.disney.go.com/recreation/chip-n-dale-campfire-sing-a-long/ It is usually about 8PM.
Checking out Fort Wilderness is a fun thing to do no matter which resort you stay at. It has a nice quiet woodsy rural feel while really being quite close to MK. Transportation isn't that bad either, as boats run from MK or the Wilderness Lodge and Contemporary Resort hotels. To get to the campfire itself you'll probably want to hop on an internal FW bus, but any internal bus will work to take you the approximately half mile from the marina (Settlement) area to the Meadows area where the campfires are. You can bring your own stuff for Smores or buy it from a store there. Have fun.