Yes, I have used drywall compound for streets and sidewalks. My advice is don't. You have to make forms, smooth it out, clean up the mess, and then wait for the inevitable cracks and seal them up. Concrete sidewalks are laid about the same regardless of the street surface. You still need to have the sidewalk, curb, and the bottom of the slab projecting out into the street to stabilize the sidewalk. This is what you are probably thinking of when you say gutter.
Since your streets are going to be dirt, you can ignore the slab since it would be quickly covered by dirt. All you need is .40 sheet styrene. This will be thick enough for a sidewalk. Cut it to width (about an actual five feet is typical in downtown areas, three to four feet in residential) and then use a straight edge and a sharp Exacto blade to carve the curb line and expansion joints. I like Floquil Aged Concrete for sidewalks but there are many other choices including cheap light gray spray paint from Wallyworld. Give the sidewalks a few washes of diluted india ink to show off the expansion joints and curb lines. Glue it down with whatever glue you like - I use latex caulk. You're done. You can get fancy and file the corners into a curve but you can also just butt up the square pieces together. Any way you do it, it's a lot faster, easier, and less messy to use styrene and it comes out looking like a sidewalk as in flat, no wavy and cracked sections like you always get with any other method.