Yes, and no. You can move whichever speakers you want to the new location, and as long as you don’t reset them, they’ll have the same playlists. But if we’re talking about Sonos playlist, they are stored locally, and not in the cloud, they’ll begin to diverge. Any changes you make to a Sonos playlist in one location will not carry over to the other.
The caveat is if you’re using playlist stored by a streaming company, they’re stored in the cloud, and any changes would be carried across both systems.
To make life easier for you, I’d encourage the use of the same SSID and password in both locations, it would make connection easier. Your controller will just connect to each system as it is on the network.