If you are Samuel R. Mott, founder of Mott’s LLP, apparently the answer is no.  Mott’s LLP filed applications to register “MOTT’S” for “baby foods” and “packaged combinations consisting of fresh fruit.”  (Serial Nos. 85/374,805 & 85/436,615)

The Trademark Trial and Appeal Board (“the Board”) refused to register the marks set forth in these applications…