They do.
here is what allaers says..
Can you rent camping gear at FW?
Yes. The official policy for Fort Wilderness is that rental tents and cots are only available to groups of 20 or more using Creekside Meadow, the primitive camping area. However, official policy and practice seem to differ. Individuals have rented equipment before and I've called FW myself and been told they do rent equipment to individuals if they have it available and a group hasn't already made arrangements to rent it. Tents are $30 per night, cots are $4 per night, so it's not cheap. Also, if you do stay in Creekside Meadow, the cost is $10 per person (20 person minimum). For group reservations, call (407) 939-7807 Monday through Friday between 9 a.m. and 4 p.m.
I would purchase a tent however. You dont need a super expensive one. If you get a good size coleman tent, and seal the seams, you are good to go.
Sleeping bags at Walmart and target Start at 10$. Bring some extra blankets for comfort/beding.
here is one for 79$ and 97 cent shipping...
Walmart.com: Coleman Squaw Creek 6-Person 12' x 10' Tent: Camping