Unless you meet the NHS criteria, you cannot get an NHS shingles jab.
It's available free via the NHS for all adults turning 65, those aged 70 to 79 and those aged 50 and over with a severely weakened immune system.
(Over the next 10 years, the programme will eventually include all those from 60 years of age.)
https://www.nhs.uk/vaccinations/shingles-vaccine
It is a two part vaccination (called "Shingrix") given two to six months apart.
I have had the NHS vaccination. I had chicken pox when I was 2 years old.
More here: www.gov.uk/government/publications/shingles-vaccination-for-adults-aged-70-or-79-years-of-age-a5-leaflet/vaccination-against-shingles-guide-from-september-2023#eligibility-for-the-vaccine
If you want to obtain a private vaccine it is expensive.
Superdrug charges £459 for the two doses.
healthclinics.superdrug.com/services/shingles-vaccination
"The shingles vaccine is suitable for patients aged 50 years and over who have either had chickenpox or have received the chickenpox vaccine in the past.
If you have neither had chickenpox nor the vaccine, you are not at risk of developing shingles and the vaccine won’t be suitable for you. In this case, you could benefit from the chickenpox vaccine.
You will be unable to have the shingles vaccination if you have had one or more episodes of shingles in the last 12 months.
The vaccine is not suitable for you if you are pregnant or trying for a baby. You need to use contraception for at least 4 weeks after having received the vaccine. The vaccine is not advised for breastfeeding women.
The vaccine also won’t be right for you if you have certain medical conditions or are taking certain medications. This may be the case if you are taking medicines that affect your immune system or if you have recently taken medication for herpes.
The nurse or pharmacist will check your medical history and ensure the vaccine is safe and beneficial for you before administering the injection."