Hello, this is Dr K.. Answers are not medical advice and do not constitute a doctor/patient relationship. I look forward to helping you today.
No you cannot get a referral from your gp for ect. You would need a referral to a mental health clinic. You do have the choice of what clinic to attend. So go to one that has a psychiatrist who does ect.
Here are the guidelines for what you legally can choose under the nhs system