Absolutely. In fact, they could technically use the slide even if they couldn't swim at all. Swim vests are allowed and readily available around the pool. My DD8 and DS5 loved the slide when we were there last week. DS5 is currently taking swim lessons, but doesn't know how to swim yet, so he was using a vest.
A couple of other points to be aware of. To enter, you have to actually go out of the pool area entirely. Once on the slide, you go under not 1, but 2 waterfalls that will defintely dump water on your head. The slide ultimately feeds into 4 feet of water and you come down with such force that you will go under water (unless wearing a vest). The exiting part of the slide is in a roped off area of the pool and a lifeguard will be sitting there. That guard will likely keep others out of the roped off area, so parents are not allowed to "catch" their children coming off. Depending on how adventerous your kids are, you might want to go with them the first time.
Another item of note since you have a 2 yo. The kiddie area of SAB with the little beach area to play on is on the complete other side of where the slide ends. You'll need to determine your comfort level with your two older kids going on the slide (then exiting the pool area to go on again and again) if you're with the younger child in the kiddie area. That's the one thing I didn't like about SAB. It's so big, it can become difficult to supervise all of your different age kids simultaneously with the many different sections. Maybe this is an issue for you, maybe not, but I thought it deserved mentioning.