IT and computer engineering are very different areas of computer science. Even so, pursuing a degree in one discipline or the other needn't lock you into a single career path for life.
Technology jobs tend to fall into a few silos, including development, engineering, and business. Computer science degrees typically fall into the same categories. They emphasize hard skills or soft skills, depending on the kinds of careers they're preparing students for. Some are highly technical and include classes in advanced mathematics and programming. Others devote more credit hours to business concepts, information security, and working with existing information management systems.
Almost all computer science degrees require students to be able to do some programming. If, however, you've been operating under the assumption that working with computer science primarily means coding, it's time to take another look at the various academic pathways, including information technology and computer engineering.