Yes, and you can even get something at a busy time. I say "something" because the trick is to get a consecutive night stay at the same resort.
I had a chance to go to WDW over my daughter's Spring Break, the week after Easter. Insanely busy and almost completely booked up!! But, I got a 1BR at AKV, a studio at VWL, and 3 consecutive nights in a 1BR at SSR. I'm still waitlisted for the 6th night. I waitlisted for an upgrade from the VWL to a 1BR, which came through the next day.
So, I am assured of a 1BR 5 of our 6 nights, and waitlisted anywhere for anything the 6th night. If things stay the way they are now, we will have to move 3 and possibly 4 times in a 6 night stay!!!
BUT, we get a "free" WDW vacation I wasn't expecting, and given that the waitlist has worked twice and it's only been 72 hours since I made the initial reservation, I feel pretty confident!!