It might be better to think of it this way: types in Rust do not implement traits, traits are implemented for types. It might seem subtle, but its not: a trait can be implemented for a type without that type's knowledge (obviously taking care for the orphan rule). Traits are also implemented via pattern matching (Into being implemented for all Froms is the most trivial example). Go's interfaces come closer to Rust traits than those from OOP languages.
I've experienced a lot of fear in other people, especially when interviewing, about Rust not being OOP. Very smart people seem to be coming up with carve-outs to keep that religion alive. Try letting go of OOP for a month or two, and you'll find that you're better off letting OOP be someone else's problem.