Yes, Shopify allows merchants to purchase domains directly from the admin dashboard.

Custom domains improve branding, professionalism, and customer trust.

No, the .myshopify.com domain cannot be changed permanently.

Shopify automatically provides a .myshopify.com domain when a store is created.

A Shopify domain is the web address customers use to access your Shopify store.

From the official Shopify Help Center: Shopify Help Center – Your Account

Check Shopify system status and troubleshoot browser settings.