If a front wheel bearing goes out will the transmission stop working?

Hello, the wheel bearing "goes out" - you mean, is worn out? If a wheel bearing is worn out, it affects the ability of the wheel to roll freely, and can cause overheating and ultimately breakage. This will not affect transmission operation, in itself. What makes you thinks the transmission has "stopped working"? Tire pressure warning lights come on when the tire pressure is low, or sensors are not providing proper information.