No, although the city makes exceptions for big rigs that are traveling a direct route to make deliveries to businesses and construction sites.
In addition to the state highway system, dozens of city streets are also designated as truck routes by the city engineer. You might find some of them surprising: Bell Avenue, Eagle and Mesa Drives, Bradshaw and Prairie Streets, and Colorado and San Jacinto Boulevards.
Police officers have the authority to pull over a truck driver and determine whether he or she is following an acceptable route.
The penalty for violating the provision is a misdemeanor, with a maximum $200 fine.
Source: City of Denton Code of Ordinances, Operation of Vehicles, Division II. Trucks and Truck Routes.