Short answer: yes, on a RTX 3070 (8GB) at FP16/BF16. Long answer below.
Llama 3.2 1B has 1.23B parameters. At FP16 that's 2.5 GB of raw weights. Quantization shrinks that, but you also need budget for the KV cache (definition), framework overhead, and safety headroom. The rule of thumb: real usable budget on a card is roughly its nameplate VRAM minus 25%. That's how the table below was computed.
Smallest GPU that fits Llama 3.2 1B at any quant: RTX 3070 at FP16/BF16.
Lossless inference needs 2.5 GB. Pick from 42 cards.
FP16/BF16 fits comfortably (2.5 GB weights).
Open the calculator pre-tuned for Llama 3.2 1B: ↗ /calc?model=llama-3-2-1b
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