From the press:

It [the Argentine flag] is an eye-catching standard: one white horizontal stripe – with a golden sun at the center – sandwiched between two sky blue horizontal stripes.
. . .Or are those two lavender stripes? Or are they azure or cerulean blue?
. . .It may sound like a picayune point, but the dispute … has triggered a kick fight in the usually genteel world of vexillology, as the study of flags is known.

Nice words here, but what's a kick fight?

Is it a soccer, er, football term?

Never heard the phrase, but it's self-descriptive. I doubt that it's from football. More like from the playground at school.