Not that I can remember since I've lived in Maine. The snowploughs just keep going round and round all the roads, and all the private plough companies are out endlessly clearing driveways and carparks. If you need to get out you generally can do.
Usually the hardest bit is just getting to the end of your driveway. If our private snowplough guy hasn't come yet and we really need to get out then we push the snowblower down the driveway, shovel the snow away from around the vehicles, then take the truck. Often the hardest bit is getting over the snowbank at the end of the driveway caused by ploughs pushing snow to the road sides.
They do sensible things like close the schools and have people WFH as much as possible so that those who do really need to get places can do.
I remember snowstorm Nemo they didn't close the Maine Turnpike, but they did stop each driver to let them know that if they got stuck they might have a long wait for the snowploughs.
We were all back out as normal the following morning.
Parking was a bit difficult in the city as the snowbanks on the sides of the roads were 6-8' high, but they brought out a load of dump trucks and equipment and moved it all a couple of days later.
I remember you couldn't actually pay for parking because there was about 2-3' of snow in front of the parking meters.