No, there's no need.
On Amber, click Add App. Give it a name, such as "noStrudel @ computer". 
It'll copy a link to your clipboard (essentially your npub @ relay).
Input that link into noStrudel's Nostr "Connect/Bunker" sign-in option, under advanced.
And you should get a notification on Amber to allow login.

If the notification doesn't come through, go to Amber's settings and try direct connection. I have ntfy installed and working but Amber notifications aren't working through it for some reason, but direct connection works flawlessly.