Can I run K2-Type-0.9B on an RTX 5070?

Yes

Its published weights (2.16 GB) fit in the 10.8 GB an RTX 5070 can use, with room for ≈ 128K tokens of context.

hf download IFM/K2-Type-0.9B

Files and context on RTX 5070

Each file of K2-Type-0.9B (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.

K2-Type-0.9B on other hardware

Popular models that run on RTX 5070

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.