The checkpoint for the 7B parameter model is 13.5GB, so maybe? Larger models are multiple chunks at 13.6GB each or 16.3GB each. I am hoping I will be able to run on my 16GB Vram but I don't know how much overhead is needed. Maybe people on reddit will do their tricks and squeeze the models in to smaller cards.
EDIT2: actually using the tip in that link I got it to run on a P5000 with 16GB of ram! It just barely fits so I had to log out of gnome and run it terminal only.
EDIT: There seems to be a lot of overhead. Here someone struggles to fit the 7B parameter model (13.5GB checkpoint) on a 24GB card: https://github.com/facebookresearch/llama/issues/55
EDIT2: actually using the tip in that link I got it to run on a P5000 with 16GB of ram! It just barely fits so I had to log out of gnome and run it terminal only.