If he had wanted a call girl, sure, I'm sure he would have done just that.
As is, he couldn't drive the Lotus properly and stopped to figure things out. She walked over and asked if he wanted a date. He said what he actually wanted was directions to Beverly Hills... for which she said she'd give him for $5. He said she couldn't charge for directions; she said the price went up to $10, and things proceeded from there.
That was the "meet cute", the cute "chance" situation in a romcon where the two first meet.
And it wasn't his Lotus. ;)
If you watch the intro again you'll see the progression was semi-logical, albeit unlikely.