Add a column to specific position in MSSQL Server
You would need to drop the table and recreate it with the columns in the correct order. If you make the table changes in SSMS then it can generate a change script for you which you could then use to deploy the change to a production server.
Even if the question is old, a more accurate about Management Studio would be required.
You can create the column manually or with Management Studio. But Management Studio will require to recreate the table and will result in a time out if you have too much data in it already, avoid unless the table is light.
To change the order of the columns you simply need to move them around in Management Studio. This should not require (Exceptions most likely exists) that Management Studio to recreate the table since it most likely change the ordination of the columns in the table definitions.
I've done it this way on numerous occasion with tables that I could not add columns with the GUI because of the data in them. Then moved the columns around with the GUI of Management Studio and simply saved them.
You will go from an assured time out to a few seconds of waiting.