Can the form be linked to the website?

Yes, you can add/embed your form to your website.

Please check this related link for more details: https://www.jotform.com/help/34-embedding-a-form-to-a-web-page

This guide will also be of help: https://www.jotform.com/help/67-which-form-embed-code-should-i-use

Do try and let us know how it goes.