delimiter //
CREATE PROCEDURE yourProcedureName()
BEGIN
DECLARE anyVariableName1 INT DEFAULT 0;
DECLARE anyVariableName2 INT DEFAULT 0;
SELECT COUNT(*) FROM yourTableName1 INTO anyVariableName1;
SET anyVariableName2 =0;
WHILE anyVariableName2 < anyVariableName1 DO
   INSERT INTO yourTableName2(yourColumnName,...N) SELECT (yourColumnName1,...N)
FROM yourTableName1 LIMIT anyVariableName2,1;
   SET anyVariableName2 = anyVariableName2+1;
END WHILE;
End;
//

mysql> create table AllRows
   -> (
   -> Id int,
   -> Name varchar(100)
   -> );
Query OK，0行受影响（0.46秒）

mysql> insert into AllRows values(1,'John');
Query OK，1行受影响（0.12秒）

mysql> insert into AllRows values(100,'Carol');
Query OK，1行受影响（0.13秒）

mysql> insert into AllRows values(300,'Sam');
Query OK，1行受影响（0.15秒）

mysql> insert into AllRows values(400,'Mike');
Query OK，1行受影响（0.20秒）

mysql> select *from AllRows;

+------+-------+
| Id   | Name  |
+------+-------+
|    1 | John  |
|  100 | Carol |
|  300 | Sam   |
|  400 | Mike  | 
+------+-------+
4行受影响（0.00秒）

mysql> create table SecondTableRows
   -> (
   -> StudentId int,
   -> StudentName varchar(100)
   -> );
Query OK, 0 rows affected (0.54 sec)

mysql> delimiter //
mysql> CREATE PROCEDURE Sp_AllRowsOfATable()
   -> BEGIN
   -> DECLARE lastRows INT DEFAULT 0;
   -> DECLARE startRows INT DEFAULT 0;
   -> SELECT COUNT(*) FROM AllRows INTO lastRows;
   -> SET startRows=0;
   -> WHILE startRows <lastRows DO
   -> INSERT INTO SecondTableRows(StudentId) SELECT (Id) FROM AllRows LIMIT startRows ,1;
   -> SET startRows= startRows+1;
   -> END WHILE;
   -> End;
   -> //
Query OK, 0 rows affected (0.22 sec)
mysql> delimiter ;

CALL yourStoredProcedureName;

mysql> call Sp_AllRowsOfATable();
Query OK，1行受影响（0.61秒）

mysql> select StudentId from SecondTableRows;

+-----------+
| StudentId |
+-----------+
|         1 |
|       100 |
|       300 |
|       400 |
+-----------+
4行受影响（0.00秒）