I was playing around on my buddie's copy of the game, and every time I got in a car chase I died because I thought I was playing GTA. I asked him and he didn't know, though he is notorious for ignoring all tutorial text. I was able to get a targeting reticle up, which gave me hope, but no cigar for me. Is this a game mechanic, or did they leave it out for one reason or another?
No you can't, according to these sources:
Q) From T-Dawg6: How is driving in the game? I heard its a bit stiff. Also can you shoot while driving? & can you fly airplanes/helicopters?
A) You heard correct T-Dawg. Some of the cars are really sticky on the road, so you won’t be pulling off Ridge Racer-grade drifts or anything like that. I would have liked it to have been a little slicker, but you get used to it over time. You can’t shoot while driving either, and I suspect that’s to make you use hacks while driving to give cops the slip instead.
There is also a discussion at GameFAQS