We were just there on Monday and we brought in a bag of snacks (goldfish, fruit snacks, crackers, granola bars) plus 3 sippy cups and two bottles of water. This was all in our diaper bag, they saw it at the bag check and didn't say anything about it. We do have 3 kids (7, 4 and 18 months) so maybe they are more lenient in that situation, I don't know. There is a sign that says you can't bring in coolers, but it doesn't say anything about outside food or drink.
I agree though, there's no picnic area to eat in or anything. We bought lunch at Voyagers and I didn't think it was really that expensive, more expensive than fast food, yes, but less expensive than other theme parks I've been to. Kids' meals were only 5 bucks. The food was also very good and we got very large portions.