as long as you're not looking for the most popular places, you should be able to get in a number of places -- I see your countdown says you'll be there in less than 2 weeks, so you're there before Memorial weekend, right? We've been to WDW the week before Memorial Day for the last 2 years and there were tables available almost everywhere we ate if you're willing to eat early or late. Prime dinner time (say 6-7:30 or so) tends to be full most places though)
I would suggest you call Disney Dining each morning & see what's available -
If you're totally winging it, the resort restaurants are more apt to have tables open for last minute walk-ups.