Here is a new paper by Steve Brito, Ana Corbacho, and Rene Osorio Rivas, it seems the answer is yes:

This working paper studies the effect of remittances from the United States on crime rates in Mexico. The topic is examined using municipal-level data on the percent of household receiving remittances and homicides per 100,000 inhabitants. Remittances are found to be associated with a decrease in homicide rates. Every 1 percent increase in the number of households receiving remittances reduces the homicide rate by 0.05 percent. Other types of crimes are analyzed, revealing a reduction in street robbery of 0.19 percent for every 1 percent increase in households receiving remittances. This decrease is also observed using a state-level panel in another specification. The mechanisms of transmission could be related to an income effect or an incapacitation effect of remittances increasing education, opening job opportunities, and/or reducing the amount of time available to engage in criminal activities.

For the pointer I thank Axayacatl Maqueda. Here is a Spanish-language discussion of the work.