Yes. You can integrate an email sign-up form into your website which will subscribe people to your Curated publication.
Embedding your sign-up form on another website
To embed your sign-up form in your own website, go to your Curated publication’s settings, and under Integrations, click Subscription Form.
There you will find some HTML code, which you can copy and paste into any website (including WordPress, Drupal, Joomla, etc…). You can then apply styling to that form to make it fit in seamlessly with the rest of your site.