If you're looking for popular music by well-known artists, probably yes.
I was a big fan of Amiestreet.com -- most songs started out free and increased in price as downloads increased. They didn't carry many popular artists. About a year ago they started adding popular artists -- but at the same price as the majors. Then, last fall, they were taken over by Amazon and shut down. So, I'm guessing this business model doesn't pay off.
Still, you might find something you like at one of the free netlabels. My favorites include the Kahvi Collective
-- they both offer several genres. Others, like Earth Mantra
specialize in ambient and electronic.
You might also check the live music archive at the Internet Archive
-- many popular and commercially successful artists permit live shows to be recorded and posted for fans. (The Archive is scrupulous about making sure these recordings are legal.)