Can a Asus STRIX-GTX960-DC2OC-2GD5 run Stable Diffusion XL 1.0?

Not really — Not recommended

Needs ~5 GB and won't fit comfortably in 2 GB VRAM + 32 GB RAM at a usable speed. A larger-VRAM GPU or a smaller model is the way to run this.

Your VRAM