Should border control destroy supplies left for illegal immigrants?

These refugees have already made the decision to leave their homes, family, and friends in their search for a better life. Leaving food, water, and clothing for them is compassionate. Yes, there are better solutions to the immigrant issue than what we are doing now on the border, but that is a separate issue, and one that needs to be dealt with. Providing small necessities to people in real need, and perhaps close to death, is what people of a civilized nation do.