Style might reference to i.e. the way of rapping or way of dressing as well
You and your friend are freestyling and you want to dishonor him so you can say "you ain't got no style man, you can't beat me"
Here's our dictionary's take on style: noun 5. elegance or refinement of manners, dress, etc.
Having said that, style will be different for different groups of people, but might include physical bearing (carriage), dress, movement, speech, possessions, education or at least knowledge, attitude toward others, etc.