No, it's just not worth the potential injury to me. I'll jog in slightly chillier weather and don't even necessarily mind a sudden summer downpour (my only concern then is my headphones and phone, but I can often zip them up in my fanny pack quickly). But truly subarctic windy cold, snow, and ice are a no go, so I haven't gone out for a walk or jog since the last time we had a random warm snap in early January, and I miss it so.
Today is sunny and the ice is actively melting, so I may just do an experimental walk around my neighborhood at long last.