In the original timeline, although they did use metric units in the TNG era, during the TOS era they were still using non-metric units like miles and feet (suggesting either US customary units or imperial units), so it makes sense this would be true in about the same era in the Kelvin timeline. For example, here's a bit of dialogue from the transcript of the second-season episode "The Immunity Syndrome", in which Spock reports some measurements made on a giant space amoeba:
SPOCK: Readings coming in now, Captain. Length, approximately eleven thousand miles. Width varying from two thousand to three thousand miles.
Similarly in the second-season episode "Friday's Child", here is McCoy describing the inhabitants of an alien planet:
MCCOY: They're quite large. Seven feet tall is not unusual.
And thanks to @Valorum for pointing out an example that actually involves inches, from the transcript of the first-season episode "Operation: Annihilate!":
KIRK: We have to duplicate the conditions on the planet, and Spock
SPOCK: Captain, you'll need a host for the next step in the test to determine whether the creature can be driven from the body. I am the logical choice.
MCCOY: Do you know what one million candlelight per square inch can do to your optic nerves?