england-and-wales
No
Privilege is not waived where a person discloses legal advice they have received in circumstances where an obligation of confidentiality is assumed. This is an explicit obligation for both solicitors and barristers towards their clients – see: the SRA Code of Conduct for Solicitors and the BSB Handbook respectively.
One of the leading authorities on this principle is Gotha City v Sotheby’s [1998]. In this case, the court held that privilege was not lost where legal advice was shared with the auction house from which another had purchased a painting with disputed ownership. Here, the obligation of confidentiality was inferred by the court.
Similarly, victims of crime often disclose privileged advice to assist the police in convicting the accused. If the victim then goes on to make a civil claim against the perpetrator, it would be contrary to public policy to allow the perpetrator to say that privilege had been waived by the victim when the advice was communicated to the police – and indeed British Coal Corpn v Dennis Rye Ltd [1988] affirms this point.