Welcome to the Shopify Community. Hilary here, I work at Shopify. Can you please provide an example of what you are looking to achieve? Where would you like the product to be linked, and what would you like this page to look like? Any examples, either from another store, or your own, are helpful for understanding your goal.
In general, to create a separate page for any product, you need to create the product, and then create a link in your navigation to that product. It is not necessary to create a page for your product, as they are created automatically when linked. This page would look the same as any other product page in your theme. Pages, however, are typically used for content like an About Us page, or Contact Us page.
Once you have added the product to your product list, you can create a menu link to this product. Here are the steps for creating the link:
Here is an example screenshot of adding a menu item:
Once you have added the menu item, and linked your subscription product, you can preview your store and view how the product is being displayed. Let me know how this goes!
Are you using a subscription app for this product, and may I ask which app? Is this the only subscription product you are planning to have, or will you have more in the future? If you are planning to add more at a later date, you could create a drop-down menu for these subscription products to make it easy for your customers to find them.