Variables are immutable by default in Rust, but they're not const by default. The difference is that a variable can become mutable while a const is always immutable.
let foo = "1234".to_string();
let mut foo = foo;
foo = "5678";
This only works if you have ownership of the variable though. And in practice it's a pretty good compromise, because it's pretty hard to do this by mistake.
Note: const in rust is different to const in some other languages: it represents a value that is duplicated inline into each use site at compile time.