Iowa - Can Airports Prohibit Carry in the General Areas?

Per Iowa law as below, I'm wondering if airports have the right to prohibit carry?Preemption: In Iowa cities, counties and townships may not enact additional firearm restrictions: As used in this section, "political subdivision of the state" means a city, county, or township. A political subdivision of the state shall not enact an ordinance regulating the ownership, possession, legal transfer, lawful transportation, registration, or licensing of firearms when the ownership, possession, transfer, or transportation is otherwise lawful under the laws of this state. An ordinance regulating firearms in violation of this section existing on or after April 5, 1990, is void. If a political subdivision of the state, prior to, on, or after July 1, 2017, adopts, makes, enacts, or amends any ordinance, measure, enactment, rule, resolution, motion, or policy regulating the ownership, possession, legal transfer, lawful transportation, registration, or licensing of firearms when the ownership, possession, transfer, transportation, registration, or license is otherwise lawful under the laws of this state, a person adversely affected by the ordinance, measure, enactment, rule, resolution, motion, or policy may file suit in the appropriate court for declaratory and injunctive relief for damages. See §724.28 via /r/CCW http://ift.tt/2tcuguU