And if they were prioritized such that they had such an opportunity?
That would be different of course. But my sense is that the UK government - quite understandably - does not want to get enmeshed in micromanagement of relative priorities for different categories of work.
Health and care work, plus residents of nursing homes like my old dad, are top priority, starting next week. All those people will get the vaccine brought to them, so there will be no issue of availability and no excuse for not getting immunised. (if you are a care worker that doesn't believe in vaccines, you deserve to be sacked, I would say.)
After that it will be sent out, I imagine either to special vaccination centres or to local doctors' surgeries, or both, and we will get called in, by letter or text, according to our ages. I already get letters inviting me for exciting things like flu and pneumonia jabs, and bowel cancer screening, on an age-related basis, so the system for this is already set up in the NHS computer system. But it will be up to us to make an appointment t the centre or surgery to get it done. So this will take a while.