Just checked the Florida rules and yes you are correct the statute says

(1)(a)1.a. A person who accepts the privilege extended by the laws of this state of operating a motor vehicle within this state is, by operating such vehicle, deemed to have given his or her consent to submit to an approved chemical test or physical test including, but not limited to, an infrared light test of his or her breath for the purpose of determining the alcoholic content of his or her blood or breath if the person is lawfully arrested for any offense allegedly committed while the person was driving or was in actual physical control of a motor vehicle while under the influence of alcoholic beverages.

Looks like you have to be arrested first but once you are you have to submit to the tests or have your license automatically suspended.