No. A "bonded fiduciary service" is not a thing. That's why there are literally zero hits on Google for that string.

You're thinking about an adviser--who must be a registered professional in the U.S., but that's a separate topic--who agrees to be bound as a fiduciary. (Bonding is a surety concept [1]. If someone is arguing their fiduciary duties are stronger because they're bonded, please report them to your regulators because that's nonsense.)

[1] https://www.investopedia.com/what-does-bonded-mean-definitio...