Can I run Tess-4.5-27B on an NVIDIA H200?

Yes

Its published weights (55.6 GB) fit in the 127 GB an NVIDIA H200 can use, with room for ≈ 256K tokens of context.

hf download migtissera/Tess-4.5-27B

Files and context on NVIDIA H200

Each file of Tess-4.5-27B (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.

Tess-4.5-27B on other hardware

Popular models that run on NVIDIA H200

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.