Of course a song can be property; a copyright is part of intellectual property law.
The term intellectual
property is quite a fix.
From the wiki page:
Free Software Foundation founder Richard Stallman argues that, although the term intellectual property is in wide use, it should be rejected altogether, because it "systematically distorts and confuses these issues, and its use was and is promoted by those who gain from this confusion." He claims that the term "operates as a catch-all to lump together disparate laws [which] originated separately, evolved differently, cover different activities, have different rules, and raise different public policy issues" and that it creates a "bias" by confusing these monopolies with ownership of limited physical things, likening them to "property rights".[33] Stallman advocates referring to copyrights, patents and trademarks in the singular and warns against abstracting disparate laws into a collective term.
A song is to be protected by copy
right.