Hi,
Well, you might. Teddy Bear is not a hybrid so it can produce seed that will make more Teddy Bears. But Sunflowers are very promiscuous plants. Sunflowers need a long isolation distance of at least 1/2 mile but there will probably be crossing at that point and you need a couple miles or so to ensure purity. So if others around you are growing other varieties, your babies might be different. If you don't have anyone too close, you'll probably get mostly Teddy Bears.
I sure hope that made sense,
Remy