There is an option in woo-commerce to enable guest checkout on the website. Which will allow customers to do the purchase on the website without login.
Login to woo-commerce backend.
Go to WooCommerce > Settings > Accounts and Privacy
- Allow customers to place orders without an account – Allows customers to check out without creating an account. Orders will not be tied to a user account in WordPress.
- Allow customers to log into an existing account during checkout – This displays a login form and prompt on the checkout page if the customer is not already logged in.
Thank you.