Nintendo switch lite Animal crossing fly to friends?

I've been playing Animal Crossing on the Nintendo Switch lite for a week now. Now I wanted to fly to a friend for the first time and this was not possible. A tab opened and it said that they couldn't find a connection to another console. We were both online and tried to take turns taking turns. She has a Nintendo Switch and my question now is whether you can only fly to someone who has a Nintedo Switch and not a Nintendo Switch lite.

I thank you in advance.

You both need an online membership, your WLAN must be switched on and connected to your switch.

Let it be you sit next to each other. Then you can do it without the Internet.

We both have an online membership and are both in our respective WLAN.