Do I need a website to create a jotform?

I would like to create two forms to be completed on line and sent to me by email. Is this possible without a website?

Yes, that's possible.

Website is not required with JotForm. You can use the direct link of your form and share it with your users. https://www.jotform.com/help/401-Where-to-Find-My-Form-URL

You can also create a custom form URL. Guide: https://www.jotform.com/help/261-How-to-Create-a-Custom-URL-of-a-Form