ANSWER = NO
Consent for medical treatment (consent form) implies that a general anaesthetic or regional anaesthetic (spinal, epidural, etc.) may be required for your procedure. This means the patient has to meet the discharge criteria, as per the Discharge Planning Questionnaire, to be suitable for Day Case Surgery.
"Have you made arrangements for someone to take you home from hospital? A responsible adult must accompany Day Only patients home, and must stay with them at least for the first night after surgery."
PG15(POM) — Guideline for the perioperative care of patients selected for day stay procedures.
A responsible adult can also be defined as a "carer":
"A person that is physically and mentally able to make decisions for the patient's welfare."
Therefore, taxi drivers — unless acting as a "carer" — do not qualify.
If a patient is not suitable for Day Case Surgery: