so far I haven't found a lightning not custodial wallet that provides a custom lightning address, so I'd say no
Discussion
Thanks
There are solutions to use getalby directly from a non-custodial wallet, such as Zeus or blue wallet, but you still have to rely on getalby which is custodial
I’m still learning but I think #[4]​ wallet would fit. It’s non-custodial as long as you connect it to your own node. For zaps you’d need a little extra on the lightning node though (someone needs to send the zap note)