If they were black and had a hard (waterproof) sole, then I probably would. Definitely no if they have that soft leather sole that a lot of fancy shoes tend to have.
If you're worried that they will stain, you could try putting a dab of water in a hidden place and seeing if the water absorbs or leaves a spot. But if you're really that worried or the leather is very delicate, I'd save them for wearing in less harsh weather.