Yes, you can.
THE RUN is centred around a race across the country, yes? A secret, illegal, undeground road race with no rules. It's the stuff of urban legend. So, how would one get involved in The Run? How would one be chosen to compete? The tagline makes it pretty clear that everyone in this race has a lot to play for - it is, after all, "The Race for Your life". So, with a little bit of clever writing, you could easily get a soccer mom in there. What if, for example, her husband was having an affair with a woman who wanted him all to herself. Because her husband was hesitant to leave her, his girlfriend entered the soccer mom in the race for the express purposes of getting her killed along the way. I mean, that's just off the top of my head: the way I'm looking at this game, the race is a vehicle for the plot. Everyone racing would have a reason for being there in the first place, and by playing as each character, you'd find out more and more about them. The idea is to make the stories compelling enough that you want to play as every character at some point or another. And by completing the entire game with every character, you could unlock one extra player whose story would involve bringign the race to an end - permanently.
And if I were the one writing the script, the character with the "best" car - like the guy in the Ferrari F40 - would go through a scripted event where the car is written off very early on and he'd be forced to complete the next section of the game in a Dacia Logan.