Sure they can, according to some models.

Here's the argument: Say A and B produce goods for each other, and so A might buy something from B for $5, and B might come back and buy something from A with the same $5. They are happily creating value, trading back and forth. Now, say something scares A so that he wants to save some of his money instead of spend. Then B is getting less income from A, and so she also becomes worried about her future income and spends less. Then A gets even less money, and is even less willing to spend. As you can see there is a feedback cycle where A and B produce (and spend) less and less. This is a recession.

Now give B some money, possibly even taken from A. Now B is getting a more reliable income, an is more willing to spend on A, who thus earns more and becomes more willing to spend on B, and so on in positive feedback.

This is basically Krugman's "Babysitting Co-op" scenario.