The health dept or its authorized representatives may examine or cause to be examined anyone suspected of having an STD, and if found to have the disease, that person shall be treated. Fla. Stat. Ann. § 384.27.

Physicians and physician assistants barred from practicing telemedicine, which includes prescribing drugs or treatment based solely upon electronic communication. Prior examination and diagnostic evaluation required.
Fla. Admin. Code Ann. r. 64B8-9.014.

Pharmacist prohibited from dispensing prescription if there is reason to believe the prescription is not supported by physician-patient relationship or prior evaluation. Fla. Stat. Ann. § 465.023.

Florida pharmacy rules provide that
“ (1) Prescribing medications based solely on an electronic medical questionnaire constitutes the failure to practice medicine with that level of care, skill, and treatment which is recognized by reasonably prudent physicians as being acceptable under similar conditions and circumstances, as well as prescribing legend drugs other than in the course of a physician’s professional practice,” and prohibit prescriptions absent “(2)(a) a documented patient evaluation, including history and physical examination to establish the diagnosis for which any legend drug is prescribed.”
Florida Admin. Code Chapt. 64B8-9.014

EPT is likely prohibited.

Individuals with STDs must undergo a physical exam prior to receiving treatment. Pharmacists are precluded from dispensing a drug to any individual who may receive the drug who has not received a physical examination.