I personally define Art as any attempt to be understood. This reflects essentially all writing, rhetoric, painting, and the like. Some of those things involve sentiment, and some do not. An attempt to be understood which does not involve sentiment might include a passage in a math textbook, or a scientific paper (depending on what you consider sentiment to be, and what threshold level of it is relevant). Personally, I feel that expressing a mathematical truth in such a way that it can be understood is art, whether there is sentiment in it or not. Euler's Formula is a rather beautiful piece of art, I would say, and the derivations I have seen inspire me in much the same way as other art does.
Your question hinges on how you define art. If you would like a cold mathematical textbook with no sentiment in it to qualify as art, as I do, the answer to your question is "no." If you would not like to consider that art, the answer seems to be "yes," but we still need a definition to see if we can falsify the premise. Try not to use the word "sentiment" in your definition.