Can I run llava-1.5-7b-hf on an RTX 5090?

Yes

Its published weights (14.1 GB) fit in the 28.8 GB an RTX 5090 can use, with room for an unknown amount of context.

hf download llava-hf/llava-1.5-7b-hf

Files and context on RTX 5090

Each file of llava-1.5-7b-hf (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.

llava-1.5-7b-hf on other hardware

Popular models that run on RTX 5090

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.