Can I keep a gun locked in my trunk in my company's parking lot without a CWP? [Florida]

Basically, wondering if I can bring my gun and keep it locked in my car and hit the local range during my lunch break. Don't have a CWP and I know the "Take your Guns to work" law in Florida protects CWP holders and allows them to keep a concealed gun in their car. via /r/CCW http://ift.tt/1VuJo1K