It's not legal, but as long as you don't damage anything I doubt anything will happen to you. Obviously, you could become a target of a citation and it's up to you if you want to deal with this. They may just give you a warning the first time, who can say? You do open yourself up to risk, and it's gonna take you a long fucking time to move the snow with a snow blower.

Also gotta add, as someone who plows a little bit at work but not city streets, depending on the weather conditions, you want to wait to plow or add a ton of salt right after clearing the street the best you can. Snow sucks to drive in, but you get better traction on snow than you do on ice. IDK if you're clearing the snow if you become liable for the ice and any crashes that follow. And it takes a lot of salt to salt a street. I go through about 12 bags to salt 1/4 mile and a parking lot.