Normally I strongly recommend that people DO NOT combine engineering with anything else. Engineering is an difficult enough major and the other field (especially business) dilutes from the engineering preparation and shows a focus away from engineering that I would not accept when I was a manager and looking at college applicants.
However, in your case, you have a defined specialty that would blend engineering and film making. Have you looked at optical engineering. It may be more technical than you want, so read the course descriptions from the course catalog to see if it could be what you want. As cameras are also mechanical devices, a degree in mechanical engineering with some classes in optics along with some film making classes might work.
Do remember that you do have to major in something, but full on second majors or even minors in another field aren’t required for a degree. Pick a major, like mechanical engineering, and choose the other classes to round out your future career path.
Don’t worry about the business side. The technical skill is the hardest to get. Without a unique product or skill, there is no business. You can always go back and cherry pick the business classes you need.