There have been thieves for years...everywhere. With the situation you are in, possible that animals could be at risk. HOWEVER the food/meals being provided to all should make their theft far less a problem. Let's face it, most people won't butcher if they don't need to! Even for those who raise their own meats, it's the most offensive part of the cycle.
I'm thinking they are safe.
Years back, I had a garden plot in a space where they rented such. Maybe 35 or so plots. Those who had, loved communing with others there. Then, we discovered that some passers-by were harvesting at night!