Yes. Well, sort of.
The actual quality is homoiconicity, meaning that code in the language is represented in the language's own data structures (beyond the entire source file being a string). This enables structural macros - using the language to manipulate code before execution.
Some languages have tried to do this without the language syntax actually being data structure literals. Rust does it, but a typical Lisp macro looks like a simple template where some things are marked to happen at compile-time and others get spliced in at runtime. Rust macros don't beyond the most trivial examples.