Nah, just speculation based on the info that's provided on the PA website (PA operates both the Holland Tunnel and GWB) and common logic.
It would have been too dangerous for Stallone to try and get in the tunnel though big ass fans that are still moving, they couldn't completely stop the fans in the movie or else the people still inside the tunnel wouldn't be able to breathe. What if the fans would have chopped him up? His family probably would have sued.
The tunnel in Daylight is supposed to be the Holland Tunnel, they aren't allowed to bring Hazardous materials, its prohibited in real life. I'm pretty sure if the truck drivers in the movie had CDL's they would know that.
Also the trucks was transporting Illegal materials in the movie, they would have a higher chance of not getting caught taking the GWB as many trucks use the GWB and they would blend in easier where's in the Holland Tunnel they stick out like a sore thumb.
Especially considering the fact that they look like Construction trucks and most of the trucks that pass though there are those boxy commercial delivery type trucks.
If the cops on the NY side didn't pull them over I'm pretty the dudes watching the camaras in that control room of the tunnel would have been like
and sent some cops to pull them over.