Can I run Qwen2-0.5B on a Mac with 128 GB?

Yes

Its published weights (988 MB) fit in the 96.0 GB a Mac with 128 GB can use, with room for ≈ 128K tokens of context.

hf download Qwen/Qwen2-0.5B

Files and context on Mac with 128 GB

Each file of Qwen2-0.5B (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.

Qwen2-0.5B on other hardware

Popular models that run on Mac with 128 GB

Assumes 75% of the Mac's memory is usable (macOS's default limit for the GPU; it can be raised) and at least 4K tokens of context for one conversation, with the context cache in 16-bit unless noted. Fits leaves at least 20% of that memory for context; Tight leaves less.