Some say yes, I say no. If you push hard enough the 4th gen iPad will kinda wedge into place but it is not a solid or positive fit. It fits like a cork fits a bottle. You can get one side to snap in completely but on the opposite side the lip never gets around to the face of the iPad, it just presses on the edge with enough force to look like it is seated -- kind of.
I have a Targus brand case w/ built in keyboard and it has an audible snap when the iPad is seated. This one doesn't. I returned mine within a half hour.