For the record the university correspondence you referenced stated that jabs were available from 23 June. Bristol Uni summer term ended 21 June. If he had stayed in Bristol after that maybe he could have got one, who knows.
The 'invitation' from the NHS for a jab specified Cwmbran Vaccination centre. My other grandson in Cardiff uni also had to have his jabs there.
However, the main thing as far as Im concerned is that they have both been vaccinated.