If I have a table with the columns: 

id | name | created_date


and would like to add a column, I use:

alter table my_table add column email varchar(255)


Then the column is added after the created_date column.

Is there any way I can specify the position for the new column? e.g. so I can add it after name and get a table like:

id | name | email | created_date


ALTER TABLE ADD COLUMN will only add the new column at the end, as the last one.
In order to create a new column in another position you need to recreate the table and copy the data from the old/current table in this new table.