No, not necessarily. You can add the ‘Fan Pass Gated Product’ app block to your default product template and it will only appear for gated products that you have configured within the Fan Pass.
This is not to say you can’t set up a new product template for your gated products to further customise them and give them a unique look and feel.
Check out this Shopify article that explains how you can create and assign a new page template to your gated products.