Can I run gemma-2-9b-it-AWQ-INT4 on an RTX 3090?

Yes

Its published weights (6.16 GB) fit in the 21.6 GB an RTX 3090 can use, with room for ≈ 8K tokens of context.

hf download hugging-quants/gemma-2-9b-it-AWQ-INT4

Files and context on RTX 3090

Each file of gemma-2-9b-it-AWQ-INT4 (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.

gemma-2-9b-it-AWQ-INT4 on other hardware

Popular models that run on RTX 3090

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.