Since tickets can be created via email, you can have your form submissions forwarded just like any email from a customer to create a ticket from them.
The customer on the ticket will be set as the original sender of the email, which may be taken from the address the form is generated from, rather than an email address of the author of the body. There are two steps to work around this:
Make sure that the email is forwarded to your Desk inbox from an email address of one of your agents. It may help to send the form to an agent and have a forwarding rule that sends them to your inbox automatically.
Set the sender header
X-Original-Senderto the address of the customer in your form.
Please note: If you are using third-party form builder, it might not be possible to change the sender header details, and some may do it automatically – please check with their support to find out.