Can I run Ternary-Bonsai-2-27B-MTP on an RTX 4060?

Yes

Its published weights (849 MB) fit in the 7.20 GB an RTX 4060 can use, with room for an unknown amount of context.

hf download ProCreations/Ternary-Bonsai-2-27B-MTP

Files and context on RTX 4060

Each file of Ternary-Bonsai-2-27B-MTP (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.

Ternary-Bonsai-2-27B-MTP 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.