No.
Safeguarding risks identified by KPSS include:
"where legal gender or self-declared gender identity is displayed instead of sex registered at birth, there is a particular safeguarding risk when the DBS check has been requested for the purposes of a role specified in accordance with the provisions in Schedule 9 Part 1 of the Equality Act 2010 to provide single-sex services. As a general principle, when working with children or vulnerable adults, there will always be sex-based safeguarding considerations even if Schedule 9 is not formally invoked".
and
"an individual who is eligible to use the Sensitive Applications Route, a service specifically intended to protect the privacy of transgender applicants, can request that their DBS certificate does not show their previous identities. Whilst the DBS considers that the individual privacy rights of those who change their gender outweigh some of the requirements for safeguarding, this level of privacy is not granted to any other group. No other individual is entitled to have their previous names hidden in this way. By enabling those who have changed their gender to keep their previous identities secret from those responsible for safeguarding, the DBS has created a loophole that is ripe for exploitation. "
See:
https://kpssinfo.org/wp-content/uploads/2022/09/DBS-Checks-and-Identity-Verification.pdf
All this has happened because of self interested lobbying by trans groups a la Denton's report - positioning themselves as the most vulnerable and requiring special treatment. In fact, it's children who have always been the most vulnerable group and it defies belief that any of our institutions / regulatory bodies have prioritised the demands of these groups over the safety of children.
No exceptions when safeguarding for any adults.