Just to expand on that a little: the service referred to is called
FTTP On Demand. Recent experiences can be found in
this thread.
The very minimum you can expect to pay for installation is £8,000+VAT, and likely substantially more. Depending on where you are, there may be vouchers you can apply for to offset the cost.
The distance to the local exchange doesn't count. What matters is the nearest Fibre Aggregation Node, but since the locations of those are not published, you'll have to go via the quotation process. The free desktop quote usually takes a few days, but often bears no resemblance at all to the actual cost, which could be much higher or lower. Until you've paid the non-refundable deposit (which is now £295+VAT with Cerberus) and the survey is completed, you won't know.
Once the survey is complete, you have 30 days to accept the quotation and pay the *full* amount due, otherwise the order lapses. If this happens, and you start the process again, you may find that the cost is substantially higher - there was a recent experience
here where after a second survey the price had doubled.
And finally: even once you've paid your money, there are no timescales for delivery. You might have it completed in 6 months if you're lucky, or a year, or 18 months (mine was 14 months from full payment to live service; or 17.5 months including the survey). That was in 2018-2019. With fibre engineers now committed to full FTTP rollouts, Openreach now seem even less keen to divert resources away to FTTPoD.