In my opinion it's not possible to get creation date for particular column, but it's possible to get modified date for table.
[EDIT]
Thanks RedDK for comment and useful information ;)
[/EDIT]
Just test it (change to your needs):
USE LIDL;
GO
DECLARE @tableName VARCHAR(50)
DECLARE @columnName VARCHAR(50)
SET @columnName = 'AAA'
SET @tableName = 'Import'
SELECT obj.create_date, modify_date
from sys.objects obj
inner join sys.columns col on obj.object_Id=col.object_Id
WHERE col.name = @columnName and obj.Name=@tableName
ALTER TABLE Import ADD COLUMN AAA INT NULL
GO
SELECT obj.create_date, modify_date
from sys.objects obj
inner join sys.columns col on obj.object_Id=col.object_Id
WHERE col.name = @columnName and obj.Name=@tableName
See:
sys.objects (Transact-SQL)[
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