How to know which User have made this Invoice?

No. Permissions do not extend to individual fields on transaction forms. If users can create or edit a form, they can enter any field on the form.

Hello, may I know any update on this features yet?

Thanks

Which feature? This thread has wandered far from the original subject.

Your reply is specifically to a log feature proposed by @Abeiku in 2016. The current History function provides such record.