Is there a possibility to make the menu as in this example in Elementor?
Yes, it is.
With elementor Pro of course.
Create a section and insert 2 rows. On the left one use the logo element and on the right a Header.
Under that use a separator and under that another 2 rows element.
On the left use the menu element and on the right use a search.
Adjust the columns as you like and you are set