Here is my setup.  It automatically sorts when the ticket is created, as well as changing teams if we change the team on back end.

Yes, it is possible to modify the form to create ticket for a specific team. Here are a couple of ideas you might have to apply specific to your need.

1. Edit the form to select the team you wish to create the ticket in. You could possibly have multiple forms or blocks, each creating ticket in a different team. Or set the visibility of a block based on condition

2. Could add a selection field on the form. This select is updated on the description field of the ticket on creation. You could possibly use an automated action to assign a helpdesk team 

3.You could also use studio to create custom forms https://www.youtube.com/watch?v=se4K7c4C_CE

Hope this helps to start developing your specific solution