You cannot, not at least in the sense you are thinking about, without manually forwarding each method.
However, you can make it such that a TerminatedString can be borrowed (shared or exclusively) as a String. For this there are two traits: Deref and DerefMut. These allow your type to be borrowed as another type.
In fact, if you look at the docs of String, you'll see that it has a Deref impl for str, meaning that many of the String-methods are actually defined on str and they are available on a String because of the Deref-impl. These are documented here.