Can I run Qwen3.8-4B-Distill-GGUF on an RTX 4090?

Yes

Its BF16 file (8.67 GB) fits in the 21.6 GB an RTX 4090 can use, with room for ≈ 256K tokens of context.

ollama run hf.co/empero-ai/Qwen3.8-4B-Distill-GGUF:BF16

Files and context on RTX 4090

Each file of Qwen3.8-4B-Distill-GGUF (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.

Qwen3.8-4B-Distill-GGUF on other hardware

Popular models that run on RTX 4090

Assumes 90% of the card's memory is usable 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.