yes and no;
yes, the drive being slimmer is not a problem just make sure it has the 44 pin ide interface and not some modern sata thing.
no, the holes are in the wrong place. Not to worry it can be fixed;
paint the metal around the holes on the drive and press the drive on the bracket while the paint is still wet.
Now you know where to drill the holes. Piece of cake.
Good luck.