Yes. Modern ships are actually remarkably smooth. If you could see below the water line there are stabilizers that extend out from the ship like airplane wings. These reduce the motion of the ship that generally causes seasickness. If you’ve heard that you want a cabin high up to avoid seasickness, don’t believe it. The lower you are the less rocking sideways motion there will be and amidships is the least rocking front to back. Just to be on the safe side though, for the first couple hours at sea make sure you don’t focus your vision on anything you brain thinks is supposed to be stable (e.g. reading a book). Looking ahead or behind the ship rather than off the side can also help since this helps establish the horizon as your point of reference.
If you want more help consider using Dramamine/Bonine. Fair warning, it can make you quite drowsy who wants to sleep through their cruise? Transdermal scopolamine is very popular without the drowsiness. It’s a little patch you wear behind your ear and you get it from your doctor. If I sail in really bad weather I get some to take with me and it has helped immensely. If you’re not into chemistry, you can use some old techniques like eating ginger. The bad news is Mom always gave me ginger ale for a queasy stomach, but the ginger ale you get today doesn’t actually have any ginger in it! You can get ginger pills at any health food store or ask the chef real nice…
Your pharmacy will sell seasickness bands that are based on acupuncture points. These work great but getting them in the right place is not often described very well. Here’s the trick. At the base of your wrist (either arm) where your palm starts you’ll find a crease running across your arm (palm facing you). Flex your hand towards your forearm and you’ll see a second crease below the one at the base (further from your hand). Take your other hand and line up your first three fingers with that 2nd crease; your second knuckle (closest to your palm) in the center of your forearm. Think of it like grabbing your forearm with three fingers. Use a pen and make a mark right at the edge of the finger furthest up your arm and in the center of your arm. You should feel a gap in between two tendons there. That spot is right where you put the button on the band. You can actually just put pressure there with your finger if you feel nauseous.