Sure thing, nostr:npub1z5ad2zt6ujnrg8gllkv587ke9slg26dgcslxt6qtyqw6s28jytmqymplkv, any time you connect new wallet/node to the extension, new profile is being created (in the extension) with new - random - Nostr keys.

You need to go to "wallet settings"

Then in "Key Management" -> "Nostr Keys" you can import (paste) your previous, existing nsec, so you could use your profile.

Alby Extension will to to sign the events of the wallet that is currently active there.