Nope. The Copyright Office will not register a short name, phrase, or expression, such as the name of a product or service, even if it is novel or distinctive. 37 C.F.R. § 202.1, a regulation issued by the Copyright Office under 17 U.S.C.S. § 702, states that short phrases such as names are not subject to copyright protection. While the use without compensation of one’s labors may seem unfair, this is not some unforeseen by-product of a statutory scheme. It is, rather, the essence of copyright, and a constitutional requirement. The primary objective of copyright is not to reward the labor of authors, but to promote the progress of science and useful arts.
Can you copyright an avatar name?