For sending zaps, I believe any wallet can be used.

More precisely: I use Phoenix wallet on Android for Lightning. I was able to send zaps in Nostr without going anywhere near the Primal wallet. Clicking the zap button takes me directly to Phoenix

For receiving, I ultimately had to use the Phoenix wallet

If you have a wallet that exposes an LNURL (xxx@yyy.zzz) then I think you can receive to that.