It is possible but difficult. A member on fj went 14.2 I believe with a cold air, header, FSW 2.5" exhaust, drag radials, tune, LSD, and weight reduction on the extreme in a ZX3 with a 2.3L. This was also at what some consider to be a fast track (Cecil) in a colder part of the year when the air was more favorable. With the 2008+ models being a bit heavier and with the 2.0L, I don't know. You would probably need the Cosworth manifold to get there.
I know it's not what a lot of people like to hear but by the time you buy everything you would need to go mid-14s NA, you could buy a used turbo kit + tuning and go mid-13s. NA will never give you the same bang for your buck, unfortunately.
I didn't put any money on NA parts. I saved up and went turbo from the beginning. My first mod to my car was the FSWerks stage 2 turbo kit.
07 ZX3 - 300whp and I'm bored with it!
66 Mustang & 85 Bronco - resto projects!
06 MX5 - ...
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