Can you download audio files from your computer/dropbox and play them on an iphone?

I don't like itunes. At all.
I have an android, and I play music that I have on audio files (which I saved to dropbox). Can I do this on an Iphone?
I want to know because if I can't, I'm not getting one.

Some people, I hear, can download songs/whole albums using utorrent and Kickasstorrents, dragging the songs to iTunes library, and putting on phone.