move Search bar in navigation

As far as i know, that’s not possible.

You can however put a link to a search page in the navigation.
And then let people search your site from there.

(Sorry, even though I am using the code button, this editor is stripping out the code)

Do keep in mind, that if you insert a search form into the nav bar, you may have display issues in mobile view, as the form will tend to attempt to blend in with the mobile nav button.

But…

You can add a search form to the nav bar by inserting:

in the header.php file (either theme or child) below this:

You can then position the form using this:

nav#access > div#search > form#searchform { }

and style the form itself useing this:

nav#access > div#search > form#searchform > input#s { }

and remove the original form using this:

header#header >
form#searchform {
display:none;
}

NOTE: I have better results inserting custom css using plugins such as Live CSS Preview or PC Custom CSS.