Sure, here's some links:

1930s Mexican Deportation: Educator brings attention to historic period and its affect on her family

The Great Depression

The Emergence of Unconstitutional Deportation and Repatriation of Mexicans and Mexican Americans as a Public Issue -- Balderrama 2005 (93): 107 -- Radical History Review

Just do a search for
"Great Depression" deportation
and you should find plenty of other results as well.