Yes. MyRegistry.com allows users to create multiple gift lists under a single account.
DESKTOP:
To add a separate registry, simply sign in to your account and click the person icon from the top right-hand side of the page. Then tap CREATE NEW GIFT LIST.
APP:
To add a separate registry from your app, simply sign in to your account and go to your My Gifts tab. Click the drop-down arrow where it reads My Registry TYPE, then tap Create New Gift List.