Can't imagine building a car on the street, but building one without a garage is not impossible, and doing it while working a job is not impossile either. I built mine working in a Costco 10'x20' canopy in the backyard. Started in Sept. of 2010, and was driving it in Mar. of 2011. But I worked every evening for 6-8 hrs., and all day on weekends almost every weekend.
Here's a pic of my meager work shop back then. Now that the car is finished I've moved my restored '71 Camaro to the canopy, and the old car is in the garage.