There's no indication that they do, but do parts from the body shop such as spoilers and carbon fiber replacements affect the handling of the car? It seems logical that they would.

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2 Answers

Body parts do not affect performance. They are for "Visual Rating" only and are used to unlock DVD cover opportunities as part of sponsor contracts. Only Fine-tuning and a Dyno Run will affect performance.

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They will alternate handling performance actually. See:

Performance alterations with spoilers were first introduced in Underground 2, which allowed the player to alter rear downforce settings. Similar implementations were reintroduced in Need for Speed: Pro Street and the Shift series.

Source:

The root scoops, bumpers, rims, wide body kits and carbon fiber components all have effects. After you change a part and go to dyno run, you can see the handling score changes significantly.

Here is a nice body part tuning guide. I only find a Chinese version: