Umm... no. It would only be controlable if the object or animal in question was able to go under the tire easily. On a two wheeled vehicle, if the object is larger than the radius of your tire, that isn't likely. Cars can handle larger objects, but again, if the object exceeds the diameter of your tire, you're probably not going to enjoy your night.
Above those threshold sizes, the object stops acting like a bump and begins acting more and more like a wall. You don't ride "over" it, so much as "into" it. Of course momentum will ensure your continued forward travel, but physics says it will more likely be wheels up, not down.
Think about a pile of loose dirt gradually getting bigger with each pass over it. At some point you're not going to go over it anymore. Well, you might, but the bike won't.