Certainly. However, both of those things (from what I've seen) are fairly rare.

The C++ copy constructor comes up fairly frequently.

Like unsafe Rust code, there is the theory and then there are the code bases that one finds out in the wild on crates.io and in-house, not necessarily using best practices.

Rust does not have implicit type conversions.

Via Deref.

Not in practice. It's only used for reference coercions to existing objects.

You would need to ignore the documentation and bend over backwards to use it for an actual type conversion, because you can only return references.

Bending backwards is a synonym to code quality delivered by consulting/offshoring projects across most big corporations.