Ask the Art Professor: Is the Internet Necessary to be a Successful Artist?

I've been working in a small gallery that's all about social media and using it to promote their gallery and artists. I, on the other hand, choose to have a very minimal online presence. I only recently got a Linkedin account, but I don't have Facebook, Instagram, Twitter, etc. I dislike the idea that anyone can have access into my work and my life. As an artist living in the 21st century, is my reluctance towards using technology and social media hurting my art career? Has the Internet become a...