Usually, all screwdriver bits come with a 1/4th inch hex shank that allows you to fit them into any drill with either a keyed or keyless or a hex drive chuck. Apart from that, you’ll find three other styles that differ in their style and use. Therefore, yes, to some extent you can call the screw bits universal. But, it’s best to stick to specific ones for certain uses. So, while buying them, ask the seller or read in the specification regarding whether it would suit your requirements or not.