No, no, no!
Even work places should have to account for how they manage DBS records. Policies are already required to be in place, sadly despite this, some organisations lack integrity and confidentiality.
I know of one gent who had been working for an organisation for several years with no complaint. This organisation made a decision to undertake CRB checks on all resident staff. This gent was somewhat anxious at this as he had had a quite colourful past as a youth. Reassured that his report would not fall into the wrong hands, as requested he completed the form filling.
In due course, his report was returned, several pages in fact, as expected listing all of his criminal history, all prior to his 20th birthday. This criminal record dated to the 60's, (checked in 2011), so irrelevant.
About 3 weeks later, he entered the staff kitchen to find a group of staff discussing in detail his CRB report, shared by the HR officer. I can't describe how upset he was, and his trust in the organisation went out of the window at that minute.
It was my husband. Yes he was an idiot as a teenager, but that all ended with the birth of h I s oldest son.
This situation with his employers was completely unacceptable, and he did receive a letter of apology but things were never the same.