No.

ALBY can connect to Nostr directly using nwc 

Mutiny can also connect to Nostr directly using nwc.

I don't believe you can use both at the same time?

I don't personally use nwc. I've tried it. But tbh I don't like 1 tap zaps. I like seeing my balance before and after izap. 

I like choosing which wallet I'm zapping from if one is bearing full or whatever the fuck.

But!  No when I tried it it's like a direct key from mutiny to Nostr. And you get zapped straight in to your wallet. And you zap straight out. And when you go to mutiny later you have a list of charges to approve 🤷🏽