They used to, a little. Only when really whipping it on off-ramps and stuff. But I'm running a sort of tall sidewall with stock springs. And too little positive offset. 195/60 15x7 +38.

Then I installed camber bolts and got about -2.0° on the fronts. They no longer rub. Feels great. If I lower the car I'm going to run into problems.

15x7 is a great wheel size for the Fit, imo. Just get the correct offset. Something like +42 or +45