Is it possible to copy a shared form to my forms? I want to change ownership of our forms to an other account.

Deu to changing of function in our organisation I needs to change ownership of our forms to an other account. Is it poosible to first share the form, then copy the forms to My forms?

You can clone forms from one account to another:

https://www.jotform.com/help/42-How-to-Clone-an-Existing-Form-from-a-URL

We can also move the form and data from one account to another for you.  For that we would need you to log in to the account that has the form and let us know the form(s) you would like moved as well as the username of the account you would like them moved to.