I would agree with leeveecius. Its not impossible, just that you would need to force a lot of air into the cylinder to make more power. I think if you had the 2.4 n/a SS, then bolt ons, tune and mild cams would do it, but a 2.2L, your gonna need to bore something out and run higher compression.
2009 Cobalt LS XFE U74
Mods: K&N Typhoon Intake, Option Cat-Back Exhaust, Cosmo Short shifter, Maxxim Ahead 17X7's, MPx shorty antenna, FE5 Strut/shocks, Tein S Techs, Moog endlinks, Moog spring seaters, ZZP shorty header, LSJ downpipe, LNF front grille