Yes, the Switch Supports Bluetooth Headphones

It took Nintendo until 2021 to finally start allowing users to connect third-party headphones via Bluetooth, but nowadays, it’s a feature that many might not know exists. To pair headphones, go to System Settings, then select Bluetooth Audio. Then, make sure your headphones are in pairing mode and hit Pair Device to get them synced up. There are not many options after that, and unlike the other consoles from Sony or Microsoft, there’s no option for 3D audio, but hell, the convenience is what you’re looking for anyway.