TSQL change cursor definition

I'm using a cursor.

DECLARE @column1 NVARCHAR(MAX);

DECLARE cursor_name CURSOR FOR
    SELECT c1
    FROM   table_name;

OPEN cursor_name;
FETCH cursor_name INTO @column1;

WHILE @@FETCH_STATUS = 0
BEGIN

    FETCH cursor_name INTO @column1;
END

CLOSE cursor_name;
DEALLOCATE cursor_name;

Now my question is, can I change the cursor cursor_name's definition after using it? I mean something similar to:

DECLARE cursor_name CURSOR FOR
    SELECT c2
    FROM   table_name2;

Using the same cursor name cursor_name, but the defination is changed. If this is possible, how to do this?

Thanks.