Can I run inkling-GGUF on an NVIDIA H100?

No

Even its smallest file (UD-IQ1_S, 270 GB) is more than an NVIDIA H100 can hold (72.0 GB usable): it needs 4 of them.

Files and context on NVIDIA H100

Each file of inkling-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.

inkling-GGUF on other hardware

Popular models that run on NVIDIA H100

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.