Yes, but employers must comply with the federal Fair Credit Reporting Act when using background checks done by consumer reporting agencies.  See https://www.consumer.ftc.gov/articles/pdf-0044-background-checks.pdf.  For certain occupations, Florida law specifies the type and level of checks to be conducted. If an employer conducts a background check and determines you are disqualified for the position based on the results or has reasonable cause to believe that grounds exist for termination or denial of employment as a result of background screening, it must notify you in writing, stating the specific record that indicates the grounds for termination or disqualification. The only basis for contesting the disqualification is proof of mistaken identity, but you may qualify for an exemption. It is your responsibility to contest the disqualification or to request exemption from disqualification.  Employers who conduct background checks should keep the results confidential.[1]

[1] Ch. 435, Fla. Stat.