Can I run gpt2-large on an RTX 4060?

Yes

Its published weights (3.25 GB) fit in the 7.20 GB an RTX 4060 can use, with room for ≈ 1K tokens of context.

hf download openai-community/gpt2-large

Files and context on RTX 4060

Each file of gpt2-large (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.

gpt2-large on other hardware

Popular models that run on RTX 4060

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.