Absolutely yes! Creating or appreciating the arts requires mastery of principles. And some of these are actually scientific principles.
Let's take music, for example. There are aesthetic principles involved in the study of music, an understanding of what is pleasing to the human ear and principles of form, so we understand the difference between a sonata and a sonatina. There are mathematical principles involved, to understand the construction of the scales and music's rhythm. There are biological principles we must understand in order to create music through our own voices or through musical instruments, knowing how our bodies can best sing or play the piano and what our bodies' limitations are. There are acoustical principles, as well, to understand how music is generated and heard.
Writing, which is most certainly an art, is another good example. The principles of writing are the tools of the trade. These include principles of oorganization, form, sentence structure, grammar, and mechanics. Understanding of plot, character, and setting is based upon principles as well. Conversely, if one wants to master the art of literature as a reader, all of those principles must be mastered, as well as the principles of literary analysis, for example, the various theories with which we analyze literature and the literary devices that are used to create various effects.
If you think about painting, sculpture, or photography, you can see that creating and appreciating these fully also involves the mastery of principles, some aesthetic and some scientific.
Of course ! Think of it like this, the jobs of world-famous surgeons are to cut into the human body with precision and accuracy with their scalpel; however, how are they to know where to cut? Of course it all started with their schooling. They have to take 8 semester credits of Anatomy and Physiology to know what and were the bones are located, the muscle types, the regions of the body, where the veins/arteries of the veins are located, and how to avoid them. Otherwise, a disaster may occur!
Keeping that in mind, art is like the same thing. If you look at many of the famous art pieces today and analyze them bit by bit, you begin to notice that they are a conglomeration of the elements and principles of art. Rhythm, color, tones, shades, line, shapes, and everything else, help make up that masterpiece. Of course, it takes years of practice and dedication to get where they get!