What is the purpose behind exporting the data to an Excel file? (Perhaps there's a better approach that will avoid the issue.)
As far as I know, you'd have to manually select a field order that matches your layout. One thing that would make this a little less onerous is that you could do this as part of a script that uses Export Records to export the data and then you'd only have to specify this order once until the next time you modify the design of your database.
If you are exporting to Excel then you will be getting a table view only. No way to truly export the data to a form view, the form provides a GUI.
There actually is a way to construct an export arranged pretty much however you want. But it involves knowledge of XML/XSL, and a lot of work. And, as Phil asked, what is the reason? Generally FileMaker is easier to use to manipulate data. There are Scripts, which you can build to do many things. It is not often you have to do things manually. It depends.