Of course. And so is every other wheeled vehicle here. No different for me than for soccer moms in minivans. Well, except that they're more likely to end up in the ditch.
In the winter, my co-workers hate me. On more than one occasion the boss has used my example to browbeat driving staff. "If he can ride a bike through this snow, you can get here too." And of course, I never have to scrape a windshield either.
In some respects the studded-tire cyclist is a lot more road-worthy than the car with all-season radials. In Iowa, it's against the law for car to use studded tires, so no one does. Consequently, I seem to be able to brake and climb hills when cars can't. I've many times biked over routes that I couldn't walk on.