I cannot give you a specific answer but given that SIM cards are sold in corner shops, supermarkets and mobile phone shops I would have thought you would have an excellent chance to buy one.
You could probably buy one at the airport too.
I think Tescos will sell them. It's in the centre of town and open 6am till 11pm most days
Many newsagents, corner shops sell PAYG sims some for as little as 99p. ( They get them provided free)
You then need to put some credit on them usually in £5 blocks
Worth checking which network works best for where you will want to use the phone !
If you identify the network you want you can get them free direct from the network operator although there may be an issue with a non-UK address.
In case anyone has the same problem as I had, I will just summarize by saying that Tesco Express and the Spar supermarket both had sim cards when I visited Ambleside. Thanks for pointing me in the right direction.
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