Is there a such thing as using bigger baits and bigger hooks when dropshotting?
Yes, as previously said, adjust your tackle to match the size of fish, water conditions etc.. I regularly drop shot in water that has big fish, I just bump up my line size, hook size, bait size. Apply the technique to what best suits how and where your fising.
My second largest tournament stringer came in stained water, 12 lb test, size 2 hook, 6" senko rigged wacky on a gammy drop shot hook.