As Scott mentioned, Feeding the Carolinas is an organization comprised of food banks in NC and SC. This page from their website lists the member food banks:
Feeding the Carolinas » Locations. There are six in NC, and I have personal knowledge of two of those. When we lived in Hillsborough, I volunteered with the Food Bank of Central and Eastern NC (FBCENC). FBCENC has five branches and provides service to fully a third of the counties in NC. I'm currently plugged in at MANNA (Mountain Area Nutritional Needs Alliance) in Asheville, which serves 16 counties in the western part of the state. Both of these are worthy of support, and I'm sure the others are as well.
I frequently get asked the difference between a food bank and a food pantry... a food bank is a warehouse/distributor that gathers, packages, and distributes food to a network of front-line partner agencies which might include soup kitchens, school- and church-based programs, senior programs, food pantries, and many more. In NC, those thousands of front-line agencies typically get their food for free or very reduced cost from one of the six foodbanks in the state, whichever serves their county. The agencies distribute the food to their clients, and there are far too many. In western NC, Feeding America (a national umbrella organization of foodbanks) estimates that 1 in 4 children and 1 in 6 adults suffer from food insecurity or hunger.
As others have said, there has been a significant hit to volunteers during covid. At MANNA, the pre-existing pool of volunteers included large numbers of folks who fell into high-risk groups (primarily older, retired folks). Overnight, many of those folks no longer felt safe/able to continue. We were lucky that many folks whose normal work/school schedule was disrupted by covid answered the call to fill that volunteer gap, and through the spring and summer we had lots of new volunteers step up. Recently, as schools have resumed it has become tougher again to find sufficient volunteers. If you've got the time, your local food bank can certainly use you. <steps off soapbox>