我们村没一家没余粮。

Every family in our village has grain to spare.

我们收的粮食刚够自己吃，没有余粮。

We grow just enough food for ourselves to eat, with no surplus grain.

供养流离失所的人有可能损害当地农民的利益，因为这样就没有人购买他们的余粮了。

And if you feed the displaced you undercut the local farmers, who will have no buyers for their surplus.