For instance, Java could do the same, but in practice conversion methods throw runtime exceptions that you won't be warned about and your code will randomly crash if conversions fail, except in some cases when it doesn't. For casting between numeric types the language does have some legacy cruft, but for web applications nothing is stopping you from doing this. Java's explicit exception system is great at forcing developers to deal with potential failures, but in practice Java developers chose not to deal with exceptions so often that exceptions now get hidden.
Rust does this stuff in the standard library and that gives you the advantage that you don't need to explain the concept and convince every developer that this is a good idea. The same way Java has optional nullability annotations that are rarely used in practice because not every developer feels like adding them, unlike languages where nullability is part of the type system.
The concept is not exclusive to Rust, but I also haven't found it very popular outside of Rust developer circles.