Credit cards definitely have check digits, pretty sure bank accounts don't, though I'm not certain.
Common enough that there's been a fair bit in the media[0] regularly, ever since instant transfers took off, and warnings from the Financial Ombudsman[1].
There's also been stories of people randomly discovering a few thousand appearing in their account and stupidly going out to spend it that day.
[0] First link in results https://www.telegraph.co.uk/personal-banking/current-account... [1] https://www.bbc.com/news/business-22815716