Yup. A set of snow tires will do much more for you than AWD or 4WD, though it’ll never hold a candle to snow tires + AWD/4WD. But snow tires and FWD is plenty for pretty much everyone that’s not regularly offroading in deep snow. If you’re really worried about it, get studs.
Make sure to take them off in the spring because they wear out really fast when it’s not cold. Swapping them shouldn’t cost a ton (like $100 or so), and snow tires are usually a bit cheaper than regular tires. It’s certainly less expensive than gas longer term.