I'd say so. Zig is aiming to be a bit smarter than C while staying at roughly the same level. C++ more sought/seeks to support C but offer higher level things with it.

It depends on the facilities the language offers to you by default right?

C++ offers much higher level primitives out of the box compared to Zig, so I'd say its a higher level language. Of course you can ignore all the features of C++ and just write C, but that's not why people are picking the language.