Are you asking about adding cruise control to a Sonic after it has left the factory? I would guess yes because of the similarities between the two cars.
All that is needed for the Cruze is a steering wheel with the cruise control controls because the electronic connections are already there. Does not work for the audio etc.
If you are not asking about cruise control, then perhaps a rephrased question will get you a more accurate answer.
Laborsmith
As I elsewhere stated, this was an accidental discovery by someone who wanted to upgrade to a leather covered steering wheel. The Cruze and the Sonic (as well as the 3012 Vette and the 2012 Camaro) share steering wheels.
Laborsmith