Lug nuts will not come loose on their own - IF they were tightened in the first place. If someone changed a tire, and didnt finish tightening the lug nuts - they can work themselves loose enough to make noise, usually in the first 100 miles or less.
If you havent had the wheels worked on during the last 200 miles, then they would not be coming loose.
Still, I check the lug nuts on a vehicle before we start on any long drive in it. My wife was going to drive about 200 miles today. I checked the lug nuts, which were all okay, then checked the tire pressures. One rear tire was low (16psi), and I know they were all 32 psi about 4 weeks ago. So I changed to an extra wheel we keep on hand, and checked those lug nuts a second time. (The tire I took off had a small screw stuck in it. It will be easy to fix, since we didnt drive on it while flat).