Yes, but the gap is much smaller than the price gap. The biggest jump comes when you move from a $20 pair to a $70 one: better drivers, a steadier Bluetooth connection, an app with an EQ and, at that price, noise cancelling that does something.
Past about $150 the gains get narrower. A $350 flagship cancels more noise, has better microphones and nicer materials, and it often sounds a bit more refined. It won’t sound five times better. For most people, the things that change from day to day are comfort, noise cancelling strength and call quality, not raw sound. The Sony WH-CH720N sells for under $100 most weeks and covers those basics well. I’d spend more only if you fly often or take a lot of calls in loud places.