Can a person create art with no formal background?
It's very possibly to create art without formal education in it (ie, drawing or painting classes, art theory, color theory), although it may be harder to learn. Drawing is an art, and is not all that difficult to improve at without classes. I've never taken a drawing class, but I enjoy drawing, so I do it very frequently, and I've gotten fairly good as a result. Arts like writing and drawing are often interesting to people because "anyone can do them", in that you probably have all the skills you need to at least make an attempt. However, for other arts, a formal background could be necessary. You wouldn't want to try glassblowing for the first time on your own -- If you breathe wrong while blowing glass, you can permanently damage your lungs. It's also very easy to burn your arms or fingers, and the glass itself must be heated and cooled specific ways to stop it from cracking.
You don't need a degree or a formal background to make art or have an artistic concept, but some forms of art require a teacher.
Is it better to have a teacher, or let your skills develop organically?