Any person arrested for any offense involving the operation or actual physical control of a motor vehicle while under the influence of alcoholic liquor or drugs shall be required to submit to a chemical test or tests of his or her blood, breath, or urine as provided in section 60-6,197 without the preliminary breath test if the arresting peace officer does not have available the necessary equipment for administering a breath test or if the person is unconscious or is otherwise in a condition rendering him or her incapable of testing by a preliminary breath test. Only a physician, registered nurse, or other trained person employed by a licensed health care facility or health care service defined in the Health Care Facility Licensure Act or a clinical laboratory certified pursuant to the federal Clinical Laboratories Improvement Act of 1967, as amended, or Title XVIII or XIX of the federal Social Security Act to withdraw human blood for scientific or medical purposes, acting at the request of a peace officer, may withdraw blood for the purpose of determining the concentration of alcohol or the presence of drugs, but this limitation shall not apply to the taking of a urine or breath specimen.