I'd say yes, but it depends on the thickness of the coat. I can just barely slip Gigi on my shoulder one handed, my elbow hits the bag when I do, but it still works. If I were to wear a thick jacket, I'd probably have to use my other hand to pull it up onto my shoulder.
If it's a thinner, wool peacoat type jacket then I'd say it should be fine, but if it's a thick, puffy down jacket I'm not sure.