Absolutely. We have eaten both breakfast and lunch from a cooler while staying at Pop Century. We made deli sandwiches or PB&J, and had veggies and dip, fresh fruit, chips, pudding cups, drinks. Picnic style foods. We also carried our own snacks in the parks: granola bars, trail mix, fruit, beef jerky. You can also buy a loaf of bread at the food court (we ran out mid-trip and didn't feel like running off site a second time). One other tip: we shopped at a
WalMart nearby. That place was MOBBED. You might want to ask around on the Dis for better shopping locations. In my opinion, it would have been worth driving a few minutes further to avoid the giant tourist crowd at that particular location. Have a great trip.