I doubt that, zig is allocators land. Even stdlib datastructures required an allocators to be instanciated. Have a look at the selection of allocators: https://zig.guide/standard-library/allocators .
You should be able to generate machine code without the need of any runtime, like you can with C.
The only thing I can think of that you might be referring to is compiler-rt: if so, this is a thing in C too! It's just a small collection of implementations for operations the code generator wants to call into (e.g. memset, arithmetic for integers larger than CPU word size). Clang uses compiler-rt when compiling C code, and GCC's equivalent is libgcc. Nonetheless, Zig lets you disable it using `-fno-compiler-rt`, in which case you'll need to provide the relevant symbols yourself somehow.
(For context, by the way, I'm on the Zig "core team"; I'm a notable contributor to the project.)